PK-6 Mathematics

Overview

In Kindergarten, there are two critical areas of focus as specified by the Common Core State Standards: 1) representing and comparing whole numbers; 2) describing shapes and space.  There are 8 units of study within the Bridges resource.  Six of these units are devoted to number and operations.  They help students learn to use numbers, including written numerals to represent quantities and solve problems; count out a given number of objects; compare sets of numerals; and model simple joining and separating situations with objects, fingers, drawings, numbers, and equations.  The other two units focus on geometry.  Students analyze and describe the attributes of shapes. Students will also find, count, draw, build, and compare shapes; and fit shapes together to make other shapes and complete puzzles. 

The Common Core State Standards are listed below and will appear on the report card.

 

Counting and Cardinality

• Know number names and the count sequence.

• Count to tell the number of objects.

• Compare numbers.

Operations and Algebraic Thinking

• Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Number and Operations in Base Ten

• Work with numbers 11-19 to gain foundations for place value.

Measurement and Data

• Describe and compare measurable attributes.

• Classify objects and count the number of objects in each category

Geometry

• Identify and describe shapes.

• Analyze, compare, create, and compose shapes.

Family Unit Overviews

The following links provide further information about specific content and strategies students will learn in each unit.

Family Welcome Letter

Unit 1: Numbers to Five and Ten

Unit 2: Numbers to Ten

Unit 3: Bikes and Bugs: Double, Add and Subtract

Unit 4: Paths to Adding, Subtracting and Measuring

Unit 5: Two-Dimensional Geometry

Unit 6: Three-Dimensional Geometry and Numbers Beyond Ten

Unit 7: Weight and Place Value

At Home Resources

		~ Practice Fact fluency- Addition/Subtraction
		~ Game night! Engage in math games- Cards, dice,  board games
		~ Math at Home Discussion activities
		~ Practice Workbook (Bridges 1st Edition)

 

Overview

In grade one, mathematicians will develop their understanding of addition and subtraction.  Students will add and subtract within 100 and solve story problems within 20 using various strategies.  Next, students will build their understanding of place value.  Students will also develop their understanding of linear measurement and measuring lengths.  Lastly, students will reason about attributes of geometric shapes and be able to compose and decompose shapes in different ways.  The Common Core State Standards for math are listed below, which will also be shown on the report card.

Operations and Algebraic Thinking

• Represent and solve problems involving addition and subtraction.

• Understand and apply properties of operations and the relationship between addition and subtraction.

• Add and subtract within 20.

• Work with addition and subtraction equations.

Number and Operations in Base Ten

• Extend the counting sequence.

• Understand place value.

• Use place value understanding and properties of operations to add and subtract.

Measurement and Data

• Measure lengths indirectly and by iterating length units.

• Tell and write time.

• Represent and interpret data.

Geometry

• Reason with shapes and their attributes.

Family Unit Overviews

The following links provide further information about specific content and strategies students will learn in each unit.

Family Welcome Letter

Unit 1: Numbers All Around Us

Unit 2: Developing Strategies With Dice and Dominoes

Unit 3: Adding, Subtracting, Counting and Comparing 

Unit 4: Leapfrogs on the Number Line

Unit 5: Geometry

Unit 6: Figure the Facts With Penguins

Unit 7: One Hundred and Beyond

At Home Resources

		~ Practice Fact fluency- Addition/Subtraction
		~ Game night! Engage in math games- Cards, dice,  board games
		~ Math at Home Discussion activities
		~ Practice Workbook (Bridges 1st Edition)
		~ Bedtime Math
		~ Summer Math Activities

Overview

In second grade, mathematicians will become fluent with their addition and subtraction facts to 20 and add and subtract with numbers up to 1,000. Second grade mathematicians will also measure and solve problems involving lengths. Lastly, second grade mathematicians will identify, describe, and compare shapes. The Common Core State Standards for math are listed below, which will also be shown on the report card.

 

Operations and Algebraic Thinking

• Represent and solve problems involving addition and subtraction.

• Add and subtract within 20.

• Work with equal groups of objects to gain foundations for multiplication.

Number and Operations in Base Ten

• Understand place value.

• Use place value understanding and properties of operations to add and subtract.

Measurement and Data

• Measure and estimate lengths in standard units.

• Relate addition and subtraction to length.

• Work with time and money.

• Represent and interpret data.

Geometry

• Reason with shapes and their attributes.

Family Unit Overviews

The following links provide further information about specific content and strategies students will learn in each unit.

Family Welcome Letter

Unit 1: Figure the Facts

Unit 2: Place Value & Measurement with Jack’s Beanstalks

Unit 3: Addition & Subtraction Within One Hundred

Unit 4: Measurement

Unit 5: Place Value to One Thousand

Unit 6: Geometry

Unit 7: Measurement, Fractions & Multi-Digit Computation with Hungry Ants

At Home Resources

 

		~ Practice Fact fluency- Addition/Subtraction
		~ Game night! Engage in math games- Cards, dice,  board games
		~ Math at Home Discussion activities
		~( Student Pages Only )

Overview

In third grade, mathematicians will be introduced to multiplication and division, while extending their learning on addition and subtraction within 1,000. Grade 3 mathematicians will also explore fractions by placing fractions on a number line and comparing two fractions. Lastly, Grade 3 mathematicians will solve word problems involving time and measurement, represent and interpret data, and determine the attributes of shapes. The Common Core State Standards for math are listed below, which will also be shown on the report card.

 

Operations and Algebraic Thinking

• Represent and solve problems involving the four operations.

• Understands the relationship between multiplication and division.

• Fluently multiplies and divides within 100.

Number and Operations in Base Ten

• Demonstrates an understanding of place value- through rounding, and multiplication of 10.

• Fluently adds and subtracts multi-digit numbers.

Number and Operations- Fractions

• Demonstrates an understanding of fractions, for example- unit fractions, putting a fraction on a number line, and comparing two fractions.

Measurement and Data

• Solves word problems involving time and measurement.

• Represents and interprets data.

• Demonstrates an understanding of area and perimeter. 

Geometry

• Reasons with shapes and their attributes.

 

Family Unit Overviews

The following links provide further information about specific content and strategies students will learn in each unit.

Family Welcome Letter

Unit 1: Addition and Subtraction Patterns

Unit 2: Introduction to Multiplication 

Unit 3: Multi-Digit Addition and Subtraction

Unit 4: Measurement and Fractions

Unit 5: Multiplication, Division, and Area

Unit 6: Geometry

Unit 7: Extending Multiplication and Fractions

At Home Resources

		~ Practice Fact fluency- Addition/Subtraction
		~Practice Fact fluency- for Addition/Subtraction & Multiplication/Division
		~ Game night! Engage in math games- Cards, dice,  board games
		~ Math at Home Discussion activities
		~Practice Workbook (Bridges 1st Edition- starts at page 41, answer key on page 23)
		~Bedtime Math
		~Summer Math Activities

 

 

Overview

In fourth grade, students will develop an understanding and fluency with multi-digit multiplication, as well as develop an understanding of dividing to find quotients involving multi-digit dividends.  In addition, students will develop an understanding of fraction equivalence, addition and subtraction of fractions with like denominators, and multiplication of fractions by whole numbers. Students will also develop an understanding that geometric figures can be analyzed and classified based on their properties, such as having parallel sides, perpendicular sides, particular angle measures, and symmetry. The Common Core State Standards for math are listed below, which will also be shown on the report card.

Operations and Algebraic Thinking

• Represents and solves problems involving the four operations (addition, subtraction, multiplication, division; one and two step word problems)

• Demonstrates an understanding of factors, multiples, and patterns involving numbers or shapes

Number and Operations in Base Ten

• Demonstrates an understanding of place value

• Fluently adds and subtracts multi-digit numbers using the standard algorithm

• Multiplies and divides using strategies based on place value

Number and Operations with Fractions

• Demonstrates an understanding of fractions 

• Demonstrates an understanding of decimals

Measurement and Data

• Solves problems involving measurement

• Represents and interprets data (line plots and fractions)

• Demonstrates and understanding of angle measurement

Geometry

• Demonstrate an understanding of lines, angles and shapes 

The mathematical work for grade 4 is partitioned into 9 units:

1. Factors and Multiples

2. Fraction Equivalence and Comparison

3. Extending Operations to Fractions

4. From Hundredths to Hundred-thousands

5. Multiplicative Comparison and Measurement

6. Multiplying and Dividing Multi-digit Numbers

7. Angles and Angle Measurement

8. Properties of Two-Dimensional Shapes

9. Putting it All Together

At Home Resources

 

		~Imagine Learning Family Support Newsletter
		~ Practice Fact fluency- Addition/Subtraction
		~ Game night! Engage in math games- Cards, dice,  board games
		~Summer Math Activities

Overview

 

In fifth grade, students will develop fluency with addition and subtraction of fractions as well as develop understanding of multiplication and division of fractions in limited cases (unit fractions divided by whole numbers and whole numbers divided by unit fractions).  In addition, fifth grade students will extend division to two-digit divisors, develop understanding of operations with decimals to hundredths, develop fluency with whole number and decimal operations, and develop understanding of volume.   The Common Core State Standards for 5th grade math are listed below, which will also be shown on the report card.

 

Operations and Algebraic Thinking

• Represents and solves problems with expressions 

Number and Operations in Base Ten

• Demonstrates an understanding of place value

• Perform operations with multi-digit whole numbers

• Perform operations with decimals 

Number and Operations with Fractions 

• Solves problems involving addition and subtraction of fractions

• Solves problems involving multiplication and division of fractions

Measurement and Data 

• Converts like measurement within a given measurement system

• Represents and interprets data

• Understands and applies the concept of volume

Geometry 

• Graphs points on the coordinate plane to solve real world and mathematical problems

• Demonstrates an understanding of geometry

Illustrative Math: Family Unit Overviews 

The mathematical work for grade 5 is partitioned into 8 units:

1. Finding Volume

2. Fractions as Quotients and Fraction Multiplication

3. Multiplying and Dividing Fractions

4. Wrapping Up Multiplication and Division with Multi-digit Numbers

5. Place Value Patterns and Decimal Operations

6. More Decimal and Fraction Operations

7. Shapes on the Coordinate Plane

8. Putting it All Together 

At Home Resources

		~Imagine Learning Family Support Newsletter
		~ Practice Fact fluency- Addition/Subtraction
		~ Game night! Engage in math games- Cards, dice,  board games
		~Summer Math Activities

 

Overview

In 6th grade students begin to explore new mathematical concepts that require them to utilize skills learned in previous grades. Students begin to develop initial understandings around concepts like ratios, rates, percentages, negative numbers, solving expressions and equations, graphing in the quadrant plan and statistics that they will continue to expand on in 7th and 8th grade.

Students will also continue to develop their number sense by making calculations with all four operations with a specific focus on decimals and fractions. Finally, students will learn more algorithm based approaches to solve challenging multiplication and division problems involving whole numbers The Common Core State Standards for 6th grade math are listed below, which will also be shown on the report card.

 

Ratios and Proportional Relationships 

• Understands ratio concepts and uses ratio reasoning to solve problems

The Number System

• Solves problems involving division of fractions by fractions

• Computes fluently with multi-digit numbers including finding common factors and multiples

• Demonstrates an understanding of rational numbers

Expressions and Equations

• Demonstrates an understanding of algebraic expressions

• Reasons about and solves one variable equations and inequalities

Statistics and Probability

• Develops understanding of statistical variability

• Represents and Interprets data and statistical information

Geometry

• Solves real-world and mathematical problems involving area, surface area, and volume

The mathematical work for grade 6 is partitioned into 8  units

• Pre Unit 1 - Multiplication and division of whole numbers using the standard algorithm 

• Unit 1 - Area and surface area

• Unit 2 - Introducing ratios

• Unit 3 - Unit Rates and Percentages

• Unit 4 - Dividing fractions

• Unit 5 - Decimal operations

• Unit 6 - Expression and equations

• Unit 7 - Rational Numbers

• Unit 8 - Data sets and distributions

• Unit 9 - Putting it all together

At Home Resources

 

		~Open Up Resources
		~ Practice Fact fluency- Addition/Subtraction
		~ Game night! Engage in math games- Cards, dice,  board games