Mathematics
Mathematics
As students work through the content areas of mathematics, a strong emphasis is placed on a firm conceptual foundation and the ability to problem solve. In seventh and eighth grades, students complete a full-year high school Algebra I course.
Kindergarten
Main Text: Go Math! Grade 1
Quarter 1
Review numbers 0-20 and handwriting practice
Review ordering numbers & less than, more than
Review counting by 2s, 5s, and 10s to one hundred
Calendar review- Days of the Week and Months of the Year
Ongoing single digit addition and subtraction fact practice
Chapter 1- Addition Concepts
Chapter 2- Subtraction Concepts
Chapter 3- Addition Strategies
Quarter 2
Chapter 4- Subtraction Strategies
Chapter 5- Addition and Subtraction Relationships
Chapter 6: Count and Model Numbers
Lesson 9: Hands On • Model, Read, and Write Numbers from 100 to 110
Lesson 10: Hands On • Model, Read, and Write Numbers from 110 to 120
Quarter 3
100th Day Project
Chapter 8: Two Digit Addition and Subtraction
Chapter 9- Measurement
Quarter 4
Chapter 10-Represent Data
Chapter 11- Three Dimensional Geometry
Lesson 4: Problem Solving • Take Apart Three-Dimensional Shapes
Lesson 5: Hands On • Two-Dimensional Shapes on Three-Dimensional Shapes
Chapter 12: Two-Dimensional Geometry
Grade 1
Main Text: Go Math! Grade 2
Daily: Number of the Day, Place Value, and Calendar Skills
Quarter 1
Data
Collecting data
Reading picture graphs
Making picture graphs
Reading bar graphs
Making bar graphs
Displaying data
Geometry and Fractions
Three-dimensional shapes
Attributes of three-dimensional shapes
Building three-dimensional shapes
Two-dimensional shapes
Angles in two-dimensional shapes
Sorting two-dimensional shapes
Partitioning rectangles
Equal parts
Showing equal parts of a whole
Describing equal parts
Equal shares
Number Concepts
Even and odd numbers
Understanding place value-tens and ones
Expanded form
Equivalent names for numbers
Counting patterns within 100
Counting patterns within 1,000
Also: Shapes Powerpoint Project, Ladybug Day, and Pumpkin Day
Using 2-d shapes
Counting
Symmetry
Measuring weight, height, circumference
Quarter 2
Numbers to 1,000
Grouping tens as hundreds
Exploring 3-digit numbers
Hundreds, tens, and ones
Place value to 1,000
Number names
Expanded and standard form of numbers
Counting on and counting back by 10 and 100
Number patterns
Comparing numbers
Addition and Subtraction
Using doubles facts
Addition facts
Making a ten to add
Adding 3 addends
Relating addition and subtraction
Subtraction facts
Using ten to subtract
Using drawings and equations to represent problems
Equal groups
Repeated addition
Quarter 3
2-Digit Addition
Breaking apart ones to add
Using compensation to add
Breaking apart addends as tens and ones
Modeling regrouping for addition
Modeling and recording 2-digit addition
Practicing and rewriting 2-digit addition
Writing equations to represent addition
Finding sums for 3 and 4 addends
2-Digit Subtraction
Breaking apart ones to subtract
Breaking apart numbers to subtract
Modeling regrouping for subtraction
Modeling and recording 2-digit subtraction
Practicing and rewriting 2-digit subtraction
Adding to find differences
Writing equations to represent subtraction
Solving multistep problems
3-Digit Addition and Subtraction
Drawing to represent 3-digit addition
Breaking apart 3-digit addends
3-digit addition: regrouping ones and tens
Drawing to represent 3-digit subtraction
3-digit subtraction: regrouping tens and hundreds
Regrouping with zeros
Also: Day 100 (in late February)
Creating a collection
Counting by ones, twos, fives, tens,
Number puzzles
Estimation
Quarter 4
Money and Time
Dimes, Nickels, and Pennies
Quarters
Counting collections
Showing amounts in two ways
One Dollar
Amounts greater than $1
Telling time to the hour and half hour
Telling time to 5 minutes
Practicing telling time
A.m. and p.m
Lengths in Customary Units
Measuring with inch models
Making and using a ruler
Estimating lengths in inches
Measuring with an inch ruler
Adding and subtracting in inches
Measuring in inches and feet
Estimating lengths in fee
Choosing a tool
Displaying measurement data
Length in Metric Units
Measuring with a centimeter model
Estimating lengths in centimeters
Measuring lengths with a centimeter ruler
Adding and subtracting lengths
Centimeters and meters
Estimating lengths in meters
Measuring and comparing lengths
Also: Fibonacci Sequence
Patterns
Addition
Grade 2
Main Text: Go Math! Grade 3
In 2nd Grade Options, students will learn how to apply different math strategies to solve problems and explain their thinking in writing.
Skills Covered:
Place value, adding, and subtracting whole numbers through 999 with regrouping
Interpreting Data and Graphs
Multiplication and division 0-12
Fractions
Time and Measurement
Area and Perimeter
2-D Geometric Shapes
Weekly Fact Fluency Assessment
mixed addition and subtraction facts 0-20
multiplication and division facts (0-12)
Grade 3
Main Text: Go Math! Grade 4
Place Value, Addition, and Subtraction to One Million
Multiply by 1-Digit Numbers
Multiply 2-Digit Numbers
Divide by 1-Digit Numbers
Factors, Multiples, and Patterns--Fractions and Decimals
Fraction Equivalence and Comparison
Add and Subtract Fractions
Multiply Fractions by Whole Numbers
Relate Fractions and Decimals
Geometry, Measurement, and Data
Two-Dimensional Figures
Angles
Relative Sizes of Measurement Unit
Algebra: Perimeter and Area·
Weekly Fact Fluency Assessment
Quarter 1: multiplication facts
Quarter 2: mixed multiplication facts
Quarter 3: division facts
Quarter 4: mixed division facts
Grade 4
Main Text: Go Math! Grade 5
Algebraic Thinking
Factors/Multiples
Patterns/Place Value
Operations/Fractions
Decimals/Percents/Measurement
Includes Quarterly authentic learning math projects (Quarter 2 - Quarter 4)
Grade 5
Main Text: Connected Math
Factors and multiples
Ratios, rational numbers, equivalence
Fraction operations
Two-dimensional measurement
Computing with decimals and percents
Variables and patterns
Statistics and data analysis
Grade 6
Variables, Expressions, and Integers
Solving Equations
Multi-Step Equations and Inequalities
Factors, Fractions, and Exponents
Rational Numbers and Equations
Ratio, Proportion, and Probability
Percents
Linear Functions
Grade 7
Algebra
Seeing Structure in Expressions
o Interpret the structure of expressions
o Write expressions in equivalent forms to solve problems
Arithmetic with Polynomials and Rational Expressions
o Perform arithmetic operations on polynomials
o Understand the relationship between zeros and factors of polynomials
o Use polynomial identities to solve problems
o Rewrite rational expressions
Creating Equations
o Create equations that describe numbers or relationships
Reasoning with Equations and Inequalities
o Understand solving equations as a process of reasoning and explain the reasoning
o Solve equations and inequalities in one variable
o Solve systems of equations
o Represent and solve equations and inequalities graphically
Grade 8
Geometry
Congruence
o Experiment with transformations in the plane
o Understand congruence in terms of rigid motions
o Prove geometric theorems
o Make geometric constructions
Similarity, Right Triangles, and Trigonometry
o Understand similarity in terms of similarity transformations
o Prove theorems involving similarity
o Define trigonometric ratios and solve problems involving right triangles
o Apply trigonometry to general triangles
Circles
o Understand and apply theorems about circles
o Find arc lengths and areas of sectors of circles
Expressing Geometric Properties with Equations
o Translate between the geometric description and the equation for a conic section
o Use coordinates to prove simple geometric theorems algebraically
Geometric Measurement and Dimension
o Explain volume formulas and use them to solve problems
o Visualize relationships between two-dimensional and three-dimensional objects
Modeling with Geometry
o Apply geometric concepts in modeling situations