Math Information

Level 2 = approaching grade level

Level 3 = on grade level

Level 4 = proficient

Level 5 = above grade level

Topic 20: Collect, Represent, & Interpret Data

(AM: April 23 - ?) / PM: (April ?)

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What We Are Learning

MA.5.DP.1.1: Collect and represent numerical data, including fractional and decimal values, using tables, line graphs or line plots. Example: Gloria is keeping track of her money every week. She starts with $10.00, after one week she has $7.50, after two weeks she has $12.00 and after three weeks she has $6.25. Represent the amount of money she has using a line graph.

Level 3: collects and represents numerical data, including decimal values, using tables or line plots
Level 4: collects and represents numerical data, including fractional and decimal values, using tables, line graphs, or line plots
Level 5: collects and represents numerical data, including fractional and decimal values, using tables, line graphs, or line plots and justifies choice of data representation

MA.5.DP.1.2: Interpret numerical data, with whole-number values, represented with tables or line plots by determining the mean, mode, median or range. Example: Rain was collected and measured daily to the nearest inch for the past week. The recorded amounts are 1, 0, 3, 1, 0, 0 and 1. The range is 3 inches, the modes are 0 and 1 inches and the mean value can be determined as (1+0+3+1+0+0+1)/ 7 which is equivalent to 6/7 of an inch. This mean would be the same if it rained 6/7 of an inch each day.

Level 3: interprets numerical data, represented with tables or line plots, by determining the mean
Level 4: interprets numerical data, with whole-number values, represented with tables or line plots by determining the mean, mode, median, or range

Topic 18: Classifying Shapes

(AM: April 15 - April 22) / PM: (April 16 - ?)

What We Are Learning

MA.5.GR.1.1: Classify triangles or quadrilaterals into different categories based on shared defining attributes. Explain why a triangle or quadrilateral would or would not belong to a category.

Level 2: given the classification attribute, explains why a triangle or quadrilateral would or would not belong to a category
Level 3: classifies triangles or quadrilaterals into different categories based on a given attribute; explains why a triangle or quadrilateral would or would not belong to a category
Level 4: classifies triangles or quadrilaterals into different categories based on shared defining attributes; explains why a triangle or quadrilateral would or would not belong to a category (sometimes, always, never b/c shared defining attributes)
Level 5: classifies triangles or quadrilaterals into more than one category based on shared defining attributes; explains why a triangle or quadrilateral would or would not belong to a category

MA.5.GR.1.2: Identify and classify three-dimensional figures into categories based on their defining attributes. Figures are limited to right pyramids, right prisms, right circular cylinders, right circular cones and spheres.

Level 2: identifies three-dimensional figures, limited to right pyramids, right prisms, right circular cylinders, and right circular cones
Level 3: identifies and classifies three-dimensional figures into categories when given attributes; figures are limited to right pyramids, right prisms, right circular cylinders, right circular cones, and spheres
Level 4: identifies and classifies three-dimensional figures into categories based on their defining attributes; figures are limited to right pyramids, right prisms, right circular cylinders, right circular cones, and spheres
Level 5: identifies and classifies three-dimensional figures, including right pyramids, right prisms, right circular cylinders, right circular cones, and spheres, into multiple categories based on their defining attributes

Topic 19: Volume

DURING MATH INTERVENTION

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What We Are Learning

MA.5.GR.3.1: Explore volume as an attribute of three-dimensional figures by packing them with unit cubes without gaps. Find the volume of a right rectangular prism with whole-number side lengths by counting unit cubes.

Level 2: explores volume as an attribute of three-dimensional figures by packing them with unit cubes without gaps; finds the volume of a right rectangular prism with whole-number side lengths not greater than 3 by counting unit cubes
Level 3: finds the volume of a right rectangular prism with whole-number side lengths not greater than 5 by counting unit cubes
Level 4: finds the volume of a right rectangular prism with whole-number side lengths by counting unit cubes
Level 5: finds the volume of a right rectangular prism counting unit cubes where all unit cubes are not present/shown

MA.5.GR.3.2: Find the volume of a right rectangular prism with whole-number side lengths using a visual model and a formula.

Level 2: when given a model, solves volume problems of a right rectangular prism with whole-number side lengths not greater than 3
Level 3: when given a model and a formula, finds the volume of a right rectangular prism with whole-number side lengths not greater than 5
Level 4: finds the volume of a right rectangular prism with whole-number side lengths using a visual model and a formula
Level 5: identifies figures with different dimensions that have the same volume

MA.5.GR.3.3: Solve real-world problems involving the volume of right rectangular prisms, including problems with an unknown edge length, with whole-number edge lengths using a visual model or a formula. Write an equation with a variable for the unknown to represent the problem. Example: A hydroponic box, which is a rectangular prism, is used to grow a garden in wastewater rather than soil. It has a base of 2 feet by 3 feet. If the volume of the box is 12 cubic feet, what would be the depth of the box?

Level 2: solves real-world problems involving the volume of right rectangular prisms, including problems with an unknown edge length, with whole-number edge lengths not greater than 3 using a visual model
Level 3: solves real-world problems involving the volume of right rectangular prisms, including problems with an unknown edge length, with whole-number edge lengths not greater than 5 using a visual model or a formula; writes an equation with a variable for the unknown to represent the problem
Level 4: solves real-world problems involving the volume of right rectangular prisms, including problems with an unknown edge length, with whole-number edge lengths using a visual model or a formula; writes an equation with a variable for the unknown to represent the problem
Level 5: solves real-world problems involving the volume of composite figures with an unknown edge length and whole-number edge lengths

Topic 17: Multi-Step Measurement Conversions

(AM: April 2 - April 14) / PM: (April 8-April 15)

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What We Are Learning

MA.5.M.1.1: Solve multi-step real-world problems that involve converting measurement units to equivalent measurements within a single system of measurement. Example: There are 60 minutes in 1 hour, 24 hours in 1 day and 7 days in 1 week. So, there are 60 × 24 × 7 minutes in one week which is equivalent to 10,080 minutes.

Level 2: solves two-step real-world problems that involve converting whole measurement units to equivalent measurements within a single system of measurement
Level 3: solves two-step real-world problems that involve converting measurement units that may include decimals to equivalent measurements within a single system of measurement
Level 4: solves multi-step real-world problems that involve converting measurement units to equivalent measurements within a single system of measurement
Level 5: identifies an error and solves multi-step real-world problems that involve converting measurement units to equivalent measurements within a single system of measurement

MA.5.M.2.1: Solve multi-step real-world problems involving money using decimal notation. Example: Don is at the store and wants to buy soda. Which option would be cheaper: buying one 24-ounce can of soda for $1.39 or buying two 12-ounce cans of soda for 69¢ each?

Level 2: solves one-step real-world problems involving money using decimal notation with multiplication or division
Level 3: solves two-step real-world problems involving money using decimal notation with at least one step including multiplication or division
Level 4: solves multi-step real-world problems involving money using decimal notation
Level 5: identifies an error and solves multi-step real-world problems involving money using decimal notation

Topic 16: Interpret & Create Numerical Expressions & Equations

AM: (March 24 - April 1) / PM: (March 31-April ?)

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What We Are Learning

MA.5.AR.2.1: Translate written real-world and mathematical descriptions into numerical expressions and numerical expressions into written mathematical descriptions. Example: The expression 4.5 + (3 × 2) in word form is four and five tenths plus the quantity 3 times 2.

Level 2: translates one-step written real-world or mathematical descriptions into numerical expressions
Level 3: translates written real-world or mathematical descriptions into numerical expressions
Level 4: translates written real-world and mathematical descriptions into numerical expressions and numerical expressions into written mathematical descriptions
Level 5: uses error analysis for determining whether a given evaluated expression includes an error at any given step in the evaluation process and evaluates multi-step numerical expressions using order of operations

MA.5.AR.2.4: Given a mathematical or real-world context, write an equation involving any of the four operations to determine the unknown whole number with the unknown in any position. Example: The equation 250 − (5 × 𝑠) = 15 can be used to represent that 5 sheets of paper are given to 𝑠 students from a pack of paper containing 250 sheets with 15 sheets left over.

Level 2: given a mathematical context, recognizes an equation involving any of the four operations to determine the unknown whole number with the unknown standing alone on one side of the equation
Level 3: given a mathematical context, identifies an equation involving any of the four operations to determine the unknown whole number with the unknown in any position
Level 4: given a mathematical or real-world context, determines an equation involving any of the four operations to determine the unknown whole number with the unknown in any position

Topic 15: Evaluate Numerical Expressions & Equations

AM: (March 6 - March 13) / PM: (March 10 - March 28)

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What We Are Learning

MA.5.AR.2.2: Evaluate multi-step numerical expressions using order of operations. Example: Patti says the expression 12 ÷ 2 × 3 is equivalent to 18 because she works each operation from left to right. Gladys says the expression 12 ÷ 2 × 3 is equivalent to 2 because first multiplies 2 × 3 then divides 6 into 12. David says that Patti is correctly using order of operations and suggests that if parentheses were added, it would give more clarity.

Level 2: evaluates a two-step expression involving adding and subtraction using order of operations
Level 3: evaluates multi-step expressions using order of operations but no use of parentheses
Level 4: evaluates multi-step numerical expressions using order of operations

MA.5.AR.2.3: Determine and explain whether an equation involving any of the four operations is true or false. Example: The equation 2.5 + (6 × 2) = 16 − 1.5 can be determined to be true because the expression on both sides of the equal sign are equivalent to 14.5.

Level 2: determines whether an equation, with whole numbers and parentheses or multiple operations on at least one side of the equation, involving any of the four operations is true or false
Level 3: determines whether an equation with decimals or fractions involving any of the four operations is true or false
Level 4: determines and explains whether an equation involving any of the four operations is true or false

Topic 14: Fraction Applications

AM: (Feb. 20- March 5) / PM: (March 3 - March 7)

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What We Are Learning

MA.5.GR.2.1: Find the perimeter and area of a rectangle with fractional or decimal side lengths using visual models and formulas.

Level 2: given a visual model, finds the perimeter and area of a rectangle with no more than one fractional side length
Level 3: finds the perimeter and area of a rectangle with fractional side lengths using models
- Note: both sets of sides are fractions
Level 4: finds the perimeter and area of a rectangle with fractional side lengths using visual models and formulas
Level 5: when given a model and a formula, compares the area and perimeter of multiple figures; finds the perimeter and area of a rectangle with missing fractional side lengths using formulas

MA.5.AR.1.2: Solve real-world problems involving the addition, subtraction or multiplication of fractions, including mixed numbers and fractions greater than 1.

Example: Shanice had a sleepover, and her mom is making French toast in the morning. If her mom had 2 ¼ loaves of bread and used 1 ½ loaves for the French toast, how much bread does she have left?

Level 3: solves real-world problems involving addition and subtraction or multiplication of fractions with unlike denominators and those greater than one
Level 4: solves real-world problems involving the addition, subtraction, or multiplication of fractions, including mixed numbers and fractions greater than one
Level 5: identifies an error and solves multi-step, real-world problems involving the addition, subtraction, or multiplication of fractions, including mixed numbers and fractions greater than one

MA.5.AR.1.3: Solve real-world problems involving division of a unit fraction by a whole number and a whole number by a unit fraction.

Example: A property has a total of ½ acre and needs to be divided equally among 3 sisters. Each sister will receive ⅙ of an acre. Example: Kiki has 10 candy bars and plans to give ¼ of a candy bar to her classmates at school. How many classmates will receive a piece of a candy bar?

Level 2: solves real-world problems involving division of a whole number by a unit fraction using models
Level 3: solves real-world problems involving division of a unit fraction by a whole number and a whole number by a unit fraction using models
Level 4: solves real-world problems involving division of a unit fraction by a whole number and a whole number by a unit fraction
Level 5: identifies an error and solves real-world problems involving division of a unit fraction by a whole number and a whole number by a unit fraction with an equation

Topic 13: Understand Division of Unit Fractions

AM: (Feb. 10 - Feb. 19) / PM: (Feb. 17 - Feb. 28)

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What We Are Learning

MA.5.FR.1.1: Given a mathematical or real-world problem, represent the division of two whole numbers as a fraction.

Example: At Shawn’s birthday party, a two-gallon container of lemonade is shared equally among 20 friends. Each friend will have 2/20 of a gallon of lemonade which is equivalent to one-tenth of a gallon which is a little more than 12 ounces.

Level 2: recognizes that a fraction represents the division of the numerator by the denominator
Level 3: given a mathematical problem, represents the division of two whole numbers as a fraction
Level 4: given a mathematical or real-world problem, represents the division of two whole numbers as a fraction
Level 5: given a mathematical or real-world problem, represents the division of two whole numbers as a fraction and identifies errors

MA.5.FR.2.4: Extend previous understanding of division to explore the division of a unit fraction by a whole number and a whole number by a unit fraction.

Level 2: explore the division of a whole number by a unit fraction using drawings and models
Level 3: explore the division of a unit fraction by a whole number and a whole number by a unit fraction using drawings and models
Level 4: explore the division of a unit fraction by a whole number and a whole number by a unit fraction
Level 5: divides a unit fraction by a whole number and a whole number by a unit fraction

Unit Fraction = a fraction with a numerator of 1.

Topic 12: Understand Multiplication of Fractions

AM: (Jan. 30-Feb. 7) / PM: (Feb. 4 -Feb. 13)

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What We Are Learning

MA.5.FR.2.2: Extend previous understanding of multiplication to multiply a fraction by a fraction, including mixed numbers and fractions greater than 1, with procedural reliability.

Level 2: multiplies two fractions less than a whole by using models and various strategies
Level 3: multiplies a fraction, including fractions greater than one, by a fraction less than a whole *including fractions x whole number
Level 4: multiply a fraction by a fraction, including mixed numbers and fractions greater than one, with procedural reliability.
Level 5: identifies an error and multiplies a fraction by a fraction, including mixed numbers and fractions greater than one

MA.5.FR.2.3: When multiplying a given number by a fraction less than 1 or a fraction greater than 1, predict and explain the relative size of the product to the given number without calculating.

Level 2: recognizes that multiplying a whole number by a fraction less than one will produce a smaller product
Level 3: recognizes that multiplying a whole number by a fraction less than one will produce a smaller product and by a fraction greater than one will produce a larger product
Level 4: when multiplying a given number by a fraction less than one or a fraction greater than one, predicts and explains the relative size of the product to the given number without calculating
Level 5: when multiplying a given number by a fraction less than one or a fraction greater than one, predicts and explains the relative size of the product to the given number without calculating and identifies errors

Topic 11: Add & Subtract Fractions

(AM: Jan. 13-Jan. 29) / (PM: Jan. 17-Feb. 3)

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What We Are Learning

MA.5.FR.2.1: Add and subtract fractions with unlike denominators, including mixed numbers and fractions greater than 1, with procedural reliability. Example: The sum of 1/12 and 1/24 can be determined as ⅛, 2/24, 6/48, or 36/288 by using different common denominators or equivalent fractions.

Level 2: Adds and subtracts fractions less than a whole with unlike denominators, using models and various strategies. *when one denominator is a multiple of the other
Level 3: Adds and subtracts fractions including mixed numbers and fractions greater than one, with unlike denominators, using models and various strategies. *fractions less than one when one denominator is not a multiple of the other *mixed numbers when regrouping is not necessary
Level 4: Adds and subtracts fractions with unlike denominators, including mixed numbers and fractions greater than one, with procedural reliability.
Level 5: Solves for an unknown numerator or denominator given the sum or difference.

MA.5.GR.2.1: Find the perimeter of a rectangle with fractional side lengths using visual models and formulas.

Level 2: Given a visual model, finds the perimeter of a rectangle with no more than one fractional side length.
Level 3: Finds the perimeter of a rectangle with fractional side lengths using models. Note: both sets of sides either fraction or decimal values
Level 4: Finds the perimeter of a rectangle with fractional side lengths using visual models and formulas.

Topic 10: Represent Data on the Coordinate Plane

(Dec. 18-Jan. 10)

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What We Are Learning

MA.5.GR.4.1: Identify the origin and axes in the coordinate system. Plot and label ordered pairs in the first quadrant of the coordinate plane.

Level 3: Identifies the origin and axes in the first quadrant of a coordinate system.
Level 4: Identifies the origin and axes in the coordinate system; plots and labels ordered pairs in the first quadrant of the coordinate plane.

MA.5.GR.4.2: Represent mathematical and real-world problems by plotting points in the first quadrant of the coordinate plane and interpret coordinate values of points in the context of the situation. Example: For Kevin’s science fair project, he is growing plants with different soils. He plotted the point (5, 7) for one of his plants to indicate that the plant grew 7 inches by the end of week 5.

Level 2: Represents mathematical problems by graphing points to complete a shape in the first quadrant of the coordinate plane.
Level 3: Represents one step mathematical and real-world problems by graphing points in the first quadrant of the coordinate plane..
Level 4: Represents two step mathematical and real-world problems by plotting points in the first quadrant of the coordinate plane and interpreting coordinate values of points in the context of the situation.
Level 5: Creates directions from one point to another in the first quadrant of the coordinate plane.

Topic 9: Represent Patterns (Dec. 9-Dec. 16)

HELPFUL LINKS

What We Are Learning

MA.5.AR.3.1: Given a numerical pattern, identify and write a rule that can describe the pattern as an expression. Example: The given pattern 6, 8, 10, 12. can be described using the expression 4 + 2x, where x = 1, 2, 3, 4; the expression 6 + 2x, where x = 0, 1, 2, 3 or the expression 2x, where x = 3, 4, 5, 6..

Level 2: Determines the value of an expression with a coefficient when the value of the variable is given
Level 3: Given a numerical pattern, identifies a rule, using one procedural step involving any of the four operations, that describes the pattern as an expression.
Level 4: Given a numerical pattern, identifies and writes a rule that can describe the pattern using two procedural steps as an expression.
Level 5: Given a numerical pattern, identifies and writes multiple rules that describe the pattern as an expression.

MA.5.AR.3.2: Given a rule for a numerical pattern, use a two-column table to record the inputs and outputs. Example: The expression 6 + 2x, where x represents any whole number, can be represented in a two-column table as shown below.

Level 2: Given a rule for a numerical pattern, uses a two-column table to record the missing outputs when given all inputs and some of the outputs.
Level 3: Given a rule with one procedural step involving addition or subtraction for a numerical pattern, uses a two-column table to record the outputs when given the inputs.
Level 4: Given a two-step rule for a numerical pattern, uses a two-column table to record the inputs and outputs.
Level 5: not applicable

Topic 7: Multiplying & Dividing Decimals (Nov. 11-Nov. 22)

HELPFUL LINKS

What We Are Learning

MA.5.NSO.2.4: Explore the multiplication and division of multi-digit numbers with decimals to the hundredths using estimation, rounding and place value.

Example: The quotient of 23 and 0.42 can be estimated as a little bigger than 46 because 0.42 is less than one-half and 23 times 2 is 46.

Level 2: Multiply decimals to the hundredths by whole numbers and divide decimals by whole numbers using models based on place value and the properties of operations.
Level 3: Multiplies and divides multi-digit numbers with decimals to the hundredths using models based on place value and the properties of operations.
Level 4: Explores the multiplication and division of multi-digit numbers with decimals to the hundredths using estimation, rounding, and place value.
Level 5: Multiplies and divides multi-digit numbers with decimals to the hundredths using estimation, rounding, and place value.

Topic 6: Place Value Patterns & Relationships (Oct. 25-Nov. 8)

HELPFUL LINKS

NSO.2.5

Multiply and Divide Decimals Review
Kahn Academy: Divide whole numbers by 0.1 or 0.01
Multiply and Divide by 0.1 and 0.01
Dividing Decimals by 0.1, 0.01, 0.001, 10, 100, and 1000 (you only need 0.1 and 0.01)
Multiply Decimals by 0.1, 0.01, and 0.001 (you only need 0.1 and 0.01)

NSO.1.1

Kahn Academy: Decimal place value review
Kahn Academy: Dividing decimals by 10, 100, and 1000
Kahn Academy: Multiply and divide decimals by 10
Kahn Academy: Multiply and divide decimals by 10, 100, and 1000
Kahn Academy: Multiplying and dividing decimals by 10
Kahn Academy: Multiplying and dividing decimals by 10, 100, 1000
Kahn Academy: Multiplying decimals by 10, 100, and 1000
Kahn Academy: Place value when multiplying and dividing by 10
Kahn Academy: Place value with decimals
Kahn Academy: Value of a digit

What We Are Learning

MA.5.NSO.2.5: Multiply and divide a multi-digit number with decimals to the tenths by one- tenth and one-hundredth with procedural reliability.

Example: The number 12.3 divided by 0.01 can be thought of as ?x 0.01 = 12.3 to determine the quotient is 1,230.

Level 2: Multiplies and divides a multi-digit whole number by one-tenth.
Level 3: Multiplies and divides a multi-digit number with decimals to the tenths by one-tenth.
Level 4: Multiplies and divides a multi-digit number with decimals to the tenths by one-tenth and one-hundredth with procedural reliability.
Level 5: Identifies an error and multiplies and divides a multi-digit number with decimals to the tenths by one-tenth and one-hundredth with procedural reliability.

MA.5.NSO.1.1: Express how the value of a digit in a multi-digit number with decimals to the thousandths changes if the digit moves one or more places to the left or right.

Level 2: Recognizes that a digit in one place represents 10 times as much as it represents in the place to its right or 1/10 as much as it represents in the place to its left, with a decimal.
Level 3: Expresses how the value of a digit in a multi-digit number with decimals to the thousandths changes if the digit moves one place to the left or right.
Level 4: Expresses how the value of a digit in a multi-digit number with decimals to the thousandths changes if the digit moves one or more places to the left or right
Level 5: Identifies an error and expresses how the value of a digit in a multi-digit number with decimals to the thousandths changes if the digit moves one or more places to the left or right.

Topic 4: Place Value: Plot, Order, Compare, and Round Decimals (Oct. 16-Oct. 22) - Topic 5 Oct. 23-Oct. 25

HELPFUL LINKS

NSO.1.4

Kahn Academy: Decimals on the number line
Kahn Academy: Comparing decimals
Study Jams: Compare Money Amounts
Study Jams: Place a Decimal on a Number Line

NSO.1.5

Kahn Academy: Rounding decimals
Study Jams: Rounding Decimals

What We Are Learning

MA.5.NSO.1.4: Plot, order and compare multi-digit numbers with decimals up to the thousandths.

Example: The numbers 4.891; 4.918 and 4.198 can be arranged in ascending order as 4.198; 4.891 and 4.918. AND 0.15 < 0.2 because 𝑓𝑖𝑓𝑡𝑒𝑒𝑛 ℎ𝑢𝑛𝑑𝑟𝑒𝑑𝑡ℎ𝑠 is less than 𝑡𝑤𝑒𝑛𝑡𝑦 ℎ𝑢𝑛𝑑𝑟𝑒𝑑𝑡ℎ𝑠, which is the same as 𝑡𝑤𝑜 𝑡𝑒𝑛𝑡ℎ𝑠.

Level 2: Plots multi-digit numbers with decimals to the thousandths using scaled number lines and place value.
Level 3: Plots and compares multi-digit numbers with decimals to the thousandths using the symbols (<, >, =)
Level 4: Plots, orders, and compares multi-digit numbers with decimals up to the thousandths.
Level 5: Determines a multi-digit number with decimals that falls between two numbers of different place values (must include thousandths) (Ex: Between 0.49 and 0.5=0.498)

MA.5.NSO.1.5: Round multi-digit numbers with decimals to the thousandths to the nearest hundredth, tenth or whole number.

Example: The number 18.507 rounded to the nearest tenth is 18.5 and to the nearest hundredth is 18.51.

Level 2: Rounds multi-digit numbers with decimals to the tenths to the whole number.
Level 3: Rounds multi-digit numbers with decimals to the hundredths to the nearest tenth or whole number.
Level 4: Rounds multi-digit numbers with decimals to the thousandths to the nearest hundredth, tenth, or whole number.
Level 5: Identifies an error and generates possible numbers given their rounded value.

Topic 3: Place Value: Multi-Digit Numbers with Decimals (Sept. 24-Oct. 15)

HELPFUL LINKS

NSO.1.2

Kahn Academy: Decimal place value intro
Kahn Academy: Decimals on the number line
Kahn Academy: Decimals in expanded form
Kahn Academy: Decimals in written form

NSO.1.3

Kahn Academy: Decimals in different forms

Study Jams: Place Value of Decimals

OPTIONAL BONUS TEST REVIEW HOMEWORK - due Monday 10/7

What We Are Learning

MA.5.NSO.1.2: Read and write multi-digit numbers with decimals to the thousandths using standard form, word form and expanded form.

Example: The number sixty-seven and three hundredths written in standard form is 67.03 and in expanded form is 60 + 7 + 0.03 or (6 x 10) + (7 x 1) + (3 x 1/100 ).

Level 2: Reads and writes multi-digit numbers with decimals to the tenths using standard form, word form, and expanded form.
Level 3: Reads and writes multi-digit numbers with decimals to the hundredths using standard form, word form, and expanded form.
Level 4: Reads and writes multi-digit numbers with decimals to the thousandths using standard form, word form, and expanded form.
Level 5: Reads and writes multi-digit numbers with decimals to the thousandths using standard form, word form, and expanded form interchangeably and in multiple forms.

MA.5.NSO.1.3: Compose and decompose multi-digit numbers with decimals to the thousandths in multiple ways using the values of the digits in each place. Demonstrate the compositions or decompositions using objects, drawings and expressions or equations.

Example: The number 20.107 can be expressed as 2 tens + 1 tenth + 7 thousandths or as 20 ones + 107 thousandths.

Level 2: Composes and decomposes multi-digit numbers with decimals to the tenths in multiple ways using the values of the digits in each place; demonstrates the compositions or decompositions using objects and expressions or equations.
Level 3: Composes and decomposes multi-digit numbers with decimals to the hundredths in multiple ways using the values of the digits in each place; demonstrates the compositions or decompositions using objects and expressions or equations.
Level 4: Composes and decomposes multi-digit numbers with decimals to the thousandths in multiple ways using the values of the digits in each place; demonstrates the compositions or decompositions using objects, drawings, and expressions or equations.
Level 5: Identifies an error and composes and decomposes multi-digit numbers with decimals to the thousandths in multiple ways using the values of the digits in each place.

Vocabulary:

compose: To put a number together using its parts (EX: 2 ones + 34 hundredths is 2.34)

decompose: To break something into parts, that together are the same as the original. (EX: 3.5 can be decomposed as 2 ones + 15 tenths)

equations: Mathematical statements that include two expressions that are joined by an equal sign (NOTE: Equations MUST have an equal sign)

expanded form: A way to express a value as the sum of the values of each digit. Expanded notation is the sum of each digit where each term is shown as a digit times its place value. (Ex. 3 x 100 + 4 x 10 = 340)

hundredths: One part in one hundred equal parts. The decimal form is 0.01

standard form: A way to express a value with digits. This is the most commonly accepted way to represent a value. T standard form of three and four tenths is 3.4.

tenths: One part in ten equal parts. The decimal form is 0.1

thousandths: One part in one thousand equal parts. The decimal form is 0.001.

word form: Represents how you say a word when you read it out loud. The word form of 509 is five hundred nine.

Topic 2: Multi-Step Problems with Whole Numbers (Sept. 13-Sept. 23)

HELPFUL LINKS

What We Are Learning

MA.5.AR.1.1: Solve multi-step real-world problems involving any combination of the four operations with whole numbers, including problems in which remainders must be interpreted within the context.

Level 2: solves two-step real-world problems involving addition and subtraction and one-step real-world problems involving multiplication and division with whole numbers
Level 3: solves two-step real-world problems involving any combination of the four operations with whole numbers, including problems in which remainders must be interpreted within the context
Level 4: solves multi-step real-world problems involving any combination of the four operations with whole numbers, including problems in which remainders must be interpreted within terms of the context
Level 5: identifies an error and solves multi-step real-world problems involving any combination of the four operations with whole numbers, including problems in which remainders must be interpreted within terms of the context

Topic 1: Multiply & Divide Multi-Digit Whole Numbers (Aug. 14 - Sept. 13)

HELPFUL LINKS

What We Are Learning

MA.5.NSO.2.1: Multiply multi-digit whole numbers including using a standard algorithm with procedural fluency.

Level 2: multiplies multi-digit whole numbers (2-digits by 3-digits through 2-digits by 6-digits) including using a standard algorithm. (products cannot exceed 6 digits)
Level 3: multiplies multi-digit whole numbers, four digits by two digits or five digits by two digits, using a standard algorithm
Level 4: multiplies multi-digit whole numbers including using a standard algorithm with procedural fluency
Level 5: identifies an error and multiplies multi-digit whole numbers including using a standard algorithm with procedural fluency

MA.5.NSO.2.2: Divide multi-digit whole numbers, up to five digits by two digits, including using a standard algorithm with procedural fluency. Represent remainders as fractions. Example: The quotient 27 ÷ 7 is 3 with remainder 6 which can be expressed as 3 6/7.

Level 2: no level 2 for this standard
Level 3: divides multi-digit whole numbers, up to five digits by one digit, with remainders and represents remainders as fractions
Level 4: divides multi-digit whole numbers, up to five digits by two digits, including using a standard algorithm with procedural fluency, and represents remainders as fractions
Level 5: identifies an error and divides multi-digit whole numbers, up to five digits by two digits, including using a standard algorithm and represents remainders as fractions with procedural fluency

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