Embedded Files
Math at a glance for Parents
4th Grade Math at a Glance for Parents.pdf
Unit 1: Building a math community through real data
Unit 1: Building a math community through real data
Data & Graphing:(NC.4.MD.4)
In this unit students will represent and interpret data using whole numbers. They collect data by asking a question that yields numerical data, make a representation of data and interpret data in a frequency table, scaled bar graph, and/or line plot, and determine whether a survey question will yield categorical or numerical data. (NC.4.MD.4)
Students will be able...
Generate data by formulating a question(s). (NC.4.MD.4)
Determine whether a survey question will yield categorical data or numerical data. (NC.4.MD.4)
Collect and represent data (frequency tables, scaled bar graphs, and/or line plots). (NC.4.MD.4)
Analyze and interpret data given in a table or graph (NC.4.MD.4)
Apply knowledge of computation skills (within 1,000) when asking and answering questions about the data. (NC.4.MD.4, NC.4.NBT.4)
MD4 practice questions.docxMath Unit 1 Practice Questions (Graphing MD4)
Unit 2: Explore Multiplicative Comparison, Area and Perimeter, Factors, and Multiples
In this unit students will interpret a multiplication equation as a comparison, and distinguish this from additive comparison. Multiplicative comparisons are first introduced in 4th Grade. They find all factor pairs for whole numbers up to and including 50, recognize that a whole number is a multiple of each of its factors, determine whether a given whole number is a multiple of a given one-digit number, and determine if the number is prime or composite. Students find areas of rectangular figures with known side lengths, and solve problems involving a fixed area and varying perimeters, and a fixed perimeter with varying areas. They solve two-step word problems involving the four operations with whole numbers, use estimation strategies to assess reasonableness of answers, and represent problems using equations with a letter standing for an unknown quantity.
Students will be able to...
Find all factor pairs for whole numbers up to and including 50. (NC.4.OA.4)
Determine whether a given whole number is a multiple of a one-digit number. (NC.4.OA.4)
Determine if a number is prime or composite. (NC.4.OA.4)
Multiply to solve word problems involving multiplicative comparisons. (NC.4.OA.1)
Solve problems involving area and perimeter, including problems involving a fixed area and varying perimeters, and a fixed perimeter and varying areas. (NC.4.MD.3)
Solve two-step word problems involving the four operations with whole numbers (NC.4.OA.3)
OA1 Practice questions.docxMath Unit 2 part 1: OA1 Practice questions Multiplicative comparisons
OA4 prime practice problems.docxMath Unit 2 part 1: Prime and Composite Practice (OA.4)
MD3 practice questions.docxMath Unit 2 part 2: Area and Perimeter Practice (MD3)
Unit 3- Use Place Value Strategies to Add and Subtract Whole Numbers
In this unit, students explain that in a multi-digit whole number, a digit in one place represents 10 times as much as it represents in the place to its right. They read, write, and compare whole numbers up to and including 100,000. Students add and subtract multi-digit whole numbers using the standard algorithm with place value understanding, solve two-step word problems, and use estimation strategies to assess the reasonableness of answers. This is the first year that mastery of the standard algorithm of addition and subtraction is an expectation
Students will be able to...
Read, write and name multi-digit whole numbers in standard, expanded, and word form.(NC.4.NBT.2)
Connect the expanded form to understandings of place value. (NC.4.NBT.1, NC.4.NBT.2)
Compare two multi-digit numbers up to 100,000 using the symbols <, >, =. (NC.4.NBT.7)
Write comparisons in number sentences using greater than, less than or equals symbol (NC.4.NBT.7)
Use the standard algorithm to add and subtract numbers in the context of one and two step word problems within 100,000. (NC.4.NBT.4)
Use the four operations to solve two-step word problems (NC.4.OA.3)
Anticipate and assess the reasonableness of solutions through estimation. (NC.4.OA.3)
Represent unknown quantities in number sentences with a letter (NC.4.OA.3)
NBT2 NBT7 place value.docx4.NBT.2 & 4.NBT.7 read, write and compare numbers
NBT1 place value patterns.docxNBT 1 Place value patterns
nbt4 PRACTICE.docxNBT4 adding and subtracting
Unit 4- Develop Multiplication/Division Strategies
In this unit students multiply a whole number of up to three digits by a one-digit whole number, and multiply up to two two-digit numbers with place value understanding, then use models to make connections and to develop the algorithm. They find whole-number quotients and remainders with up to three-digit dividends and one-digit divisors with place value understanding. They solve problems with area and perimeter, and solve two-step word problems involving the four operations with whole numbers.
Students will be able to...
Multiply a whole number of up to three-digits by a one-digit whole number with place value understanding using area models, partial products, and other appropriate strategies. (NC.4.NBT.5)
Multiply up to two two-digit whole numbers with place value understanding using area models, partial products, and other appropriate strategies. (NC.4.NBT.5)
Use formulas for area and perimeter to solve real-world problems. (NC.4.MD.3)
Find the area of rectilinear figures with known side lengths. (NC.4.MD.3)
Solve problems involving a fixed area and varying perimeters and a fixed perimeter and varying areas. (NC.4.MD.3)
NBT5.docxmultiplication practice 4.NBT.5
part 2 MD3 area and perim practice questions.docxComplex shapes practice (4.MD.3) Area & Perimeter part 2
NBT6 practice.docxDivision practice 4.NBT.6
Unit 5- Extend the Understandings of Fractions
Finding equivalent fractions with models
Comparing fractions with visual models
4.NF.2 Comparing and Ordering Fractions
In this unit students explain why a fraction is equivalent to another fraction by using area and length fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. They also compare two fractions with different numerators and different denominators, using denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100, and justify the conclusions by reasoning about their size using models, benchmark fractions, and comparing common numerators and denominators.
Students will be able to...
Create area, length and number line models to compare two fractions. (NC.4.NF.1)
Record comparisons of fractions using the <,>,= symbols. (NC.4.NF.2)
Reason about the size of fractions using area and length models when making comparisons. (NC.4.NF.2)
Compare two fractions with common numerators and common denominators. (NC.4.NF.2)
Compare fractions with benchmark fractions
NF1 Equivalent Fractions.docx4.NF.1 Equivalent Fractions practice Questions
NF2 comparing ordering fractions.docxUnit 6- Connect to Decimal Notation
nf6nf7 decimal connection.docxDecimal Notation & comparing decimals Practice
In this unit students read, write, model, add, compare, and find equivalence of both decimals and fractions that include tenths and hundredths, using concrete models such as area models, number lines, benchmark numbers, decimal grids, and/or tenth/hundredth circles.
Students will be able to...
Add two fractions with denominators of 10 or 100 using equivalency (NC.4.NF.6)
Use precise language to describe decimals (NC.4.NF.6)
Use models to verify equivalence (ex: use number line to show fraction on top and decimal notation on bottom) and to express equivalence between fraction and decimal form (e.g. 3/10 = 0.3) (NC.4.NF.6)
Use decimal notation in reference to the number line and decimal grid models to solve problems and communicate their thinking. (NC.4.NF.6)
Reason about the size of decimals based on place value understanding (NC.4.NF.6)
Compare decimal numbers using area and length models, (including number lines, decimal circles/grids, meter sticks), benchmark numbers, and/or understanding of equivalence, to compare and order decimals (NC.4.NF.7)
Use greater than, less than, and equal symbols to record decimal comparisons (NC.4.NF.7)
comparing helper video
deimal connection video
Unit 7- Understand Operations with Fractions & Decimals
NF.6.docxNF.3.docxNF.4.docx4.NF.4 multiplying with fractions
In this unit students add and subtract fractions with like denominators (including mixed numbers), decompose a fraction into a sum of unit fractions, multiply a whole number by a fraction less than one, add two fractions with denominators of 10 and 100, and solve word problems within these contexts.
Students will be able to...
Justify decompositions of fractions with denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100. (NC.4. NF.3)
Use equivalent fractions and/or properties of operations to add and subtract fractions with like denominators, including mixed numbers (NC.4.NF.3).
Solve word problems involving addition and subtraction of fractions with like denominators, including mixed numbers (NC.4.NF.3)
Compose/decompose a fraction into a sum of unit fractions and a sum of fractions with the same denominator in more than one way using area models, length models, and equations (NC.4.NF.3)
Solve word problems involving multiplication of a fraction by a whole number. (NC.4.NF.4)
Write a number sentence to match visual representations of a whole number multiplied by a unit fraction. (e.g. show 3 x ¼ = ¾ using a model and write an appropriate number sentence matching the model, ¾ = ¼ + ¼ + ¼) (NC.4.NF.4)
Use repeated addition as a strategy for multiplying a whole number by a fraction (NC.4.NF.4)
Use equivalent fractions to add two fractions with denominators of 10 and 100. (NC.4.NF.6)
Solve addition of decimals problems using understanding of equivalence, concrete decimal models, and using decimal notation. (NC.4.NF.6)
Unit 8- Apply Geometric Concepts
Sym and lines g123.docxLines, symmetry and some angles
In this unit students draw and identify points, lines, line segments, rays, angles, perpendicular and parallel lines, and classify quadrilaterals and triangles based on angle measure, side lengths, and the presence or absence of parallel or perpendicular lines. They recognize, identify, and draw lines of symmetry, and generate and analyze a number or shape pattern that follows a given rule. Students develop an understanding of angles and angle measurement, including understanding that angles are geometric shapes formed where two rays share a common endpoint, measure and sketch angles using a protractor, and solve problems involving angles.
Identify points, lines, segments, rays, angles, parallel and perpendicular lines. (NC.4.G.1)
Use tools to draw points, lines, segments, rays, angles, parallel and perpendicular lines. (NC.4.G.1)
Identify and classify quadrilaterals and triangles based on angle measure, side lengths, and the presence or absence of parallel or perpendicular lines. (NC.4.G.2)
Identify and draw lines of symmetry. (NC.4.G.3)
Identify and draw right, acute, obtuse, and straight angles. (NC.4.MD.6)
Use a protractor to measure and draw angles. (NC. 4.MD.6)
Solve for the unknown angle measures. (NC.4.MD.6)
Estimate to assess reasonableness of the angle measure (NC.4.OA.3)
MD6 angles.docxmeasuring angles
Unit 9- Use Place Value to Understand Metric Measurement
Time conversions md8.docxTime Conversions (elapsed time)
measurement conversions md1md2.docxMeasurement (Metric) conversions
Rules and patterns oa5.docxRules & Patterns
IIn this unit students know the relative sizes of metric measurement units including centimeter, meter, gram, kilogram, liter, and milliliter, and solve one-step word problems involving these measurements. They convert metric measurements from a larger unit to a smaller unit using place value understanding, two-column tables, and length models, as well as solve addition and subtraction problems of time intervals that cross the hour. Additionally, they use decimal notation to represent fractions, compare two decimals to hundredths, and generate and analyze a number pattern.
Solve problems involving metric units. (NC.4.MD.1)
Convert metric measurements from a larger unit to a smaller unit (meter to centimeter, kilogram to gram, liter to milliliter). (NC.4.MD.2)
Add and subtract time across the hour. (NC.4.MD.8)
Represent 1/10 and 1/100 as decimals. (NC.4.NF.6)
Make estimates and assess the reasonableness of those estimates during the process of measuring and make adjustments. (NC.4.OA.3)
Generate and analyze numeric patterns using a conversion table. (NC.4.OA.5)
Thanks for a great year!
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