# Math Plus Purple (3)

This list is representative of the materials provided or used in this course. Keep in mind that the actual materials used may vary, depending on the school in which you are enrolled, and whether you are taking the course as Independent Study.

**For a complete list of the materials to be used in this course by your enrolled student, please visit MyInfo**. All lists are subject to change at any time.

Scope & Sequence : Scope & Sequence documents describe *what* is covered in a course (the scope) and also the *order* in which topics are covered (the sequence). These documents list instructional objectives and skills to be mastered. K12 Scope & Sequence documents for each course include:

## Course Overview

This research-based course focuses on computational fluency, conceptual understanding, and problem solving. This engaging course features new graphics, learning tools, and games; adaptive activities that help struggling students master concepts and skills before moving on; and more support for Learning Coaches to guide their students to success. This course emphasizes conceptual understanding of the mathematical operations: addition, subtraction, multiplication, and division. Students make connections between the operations, as well as practice through problem solving, to achieve fluency. The use of problem solving and representing problem situations with equations, which include symbols for unknown values, introduces algebraic thinking. The course addresses fractions through multiple representations, as well as solving real-world problems, which gives students the ability to connect the use of fractions with problem situations in a way that makes sense and creates deeper understanding. The courses addresses geometry and measurement through introductory work on perimeter, area, and attributes of two-dimensional geometric figures, and applying measuring techniques to solving problems involving time, length, capacity, and mass. Throughout the course, problem solving connects individual mathematical skills and concepts in a useful and in-depth way. This course includes standards-based tasks, digital literacy skills, and assessment questions.

back to top## Course Outline

### SEMESTER 1

#### Unit 1: Whole Number Sense

Students build and use place value understanding to identify whole numbers, order whole numbers by using the symbols <, =, >, compare whole numbers, and round numbers.

- Numbers Through 1,000
- Compare and Order Numbers Through 1,000
- Round Numbers Through 1,000
- Core Focus

#### Unit 2: Whole Number Addition and Subtraction

Students learn how addition and subtraction affect whole numbers and how to determine the sum or difference of two whole numbers. They practice solving both one- and two-step story problems in which two quantities are combined, quantities change by addition or subtraction, two quantities are compared by the use of addition or subtraction, and one quantity must be changed to equal another quantity.

- Effects of Addition and Subtraction
- Addition and Subtraction Answers
- Combine and Change Problems
- Compare and Equalize Story Problems
- Core Focus

#### Unit 3: Whole Number Multiplication Sense

Students use objects or sketches to solve multiplication problems. They use models to explain multiplication as repeated addition of the same quantity. They learn how to explain and apply the commutative, associative, and zero properties of multiplication. They demonstrate automatic recall of multiplication facts and an understanding of how multiplication affects whole numbers. They learn how to apply the multiplication property of 1.

- Model and Explain Multiplication
- Area Models for Multiplication (parts A, B)
- Understand Multiplication
- Commutative Property of Multiplication
- Multiplication Facts
- Multiplication Facts (parts A–D)
- Associative Property
- Core Focus

#### Unit 4: Whole Number Multiplication

Students use objects or sketches to solve multiplication story problems. They solve multiplication problems involving a multidigit factor and a one-digit factor. They use multiplication to solve story problems that involve equal groups and equal measures and learn how to create story problems that can be represented by a multiplication number sentence.

- Multiplication Story Problems
- Multiply Multidigit by 1-Digit Numbers
- Multiply Equal Groups (parts A, B)
- Multiplication with Equal Measures
- Write Multiplication Stories (parts A, B)
- Core Focus

#### Unit 5: Whole Number Division Sense

Students use objects or sketches to solve division problems. They learn that division is repeated subtraction and the sharing of a quantity into equal groups. They learn the meaning of the ÷ symbol, the division property of 1, division by zero is undefined, and the inverse relationship between multiplication and division. Students use objects or sketches to solve division story problems. They learn to solve division problems with a multidigit dividend, a one-digit divisor, and no remainder. They practice solving story problems that involve equal groups and equal measures.

- Model and Explain Division
- Applying Division Symbols and Rules
- Division as Sharing
- Relating Multiplication and Division
- Use Inverse Relationships
- Effects of Division
- Division Story Problems with Equal Groups and Equal Measures (parts A, B)
- Core Focus

#### Unit 6: Algebra Thinking

Students learn to use mathematical expressions, equations, and inequalities to represent relationships between quantities. They learn to select the appropriate symbol to show an operation or a relationship that makes a number sentence true, to determine a missing number in an equation or an inequality, and to recognize and describe a linear pattern, such as counting by 5s or multiplying 5 times a number to reach 100, by its rule. They extend linear patterns and solve simple story problems that involve functions.

- Mathematical Expressions
- Expressions and Number Sentences (parts A, B)
- Expression Comparison (parts A, B)
- Missing Symbols
- Missing Values (parts A–C)
- Number Patterns
- Story Problems and Patterns (parts A, B)
- Core Focus

#### Unit 7: Geometry

Students learn how to identify right angles and the measure of angles greater than or less than a right angle. They learn to classify polygons according to the number of sides; the attributes of isosceles, equilateral, and right triangles; and the attributes of parallelograms, rectangles, and squares.

- Right Angles and Other Angles
- Identify and Classify Polygons
- Triangles
- Parallelograms
- Core Focus

#### Unit 8: Semester Review and Checkpoint

### SEMESTER 2

#### Unit 9: Whole Numbers and Multiple Operations

Students learn how to determine whether addition, subtraction, multiplication, or division is the appropriate operation to use to solve a story problem. They practice solving story problems involving two or more operations and using the order of operations to evaluate an expression.

- The Order of Operations
- Choose the Correct Operation (parts A, B)
- Use More Than One Operation (parts A, B)
- Core Focus

#### Unit 10: Fractions and Probability

Students learn about fractions as the relationship of a part to a whole, and as a rational number on the number line. They learn to write the fraction represented by a drawing that shows parts of a whole. They compare and order unit fractions and use objects or sketches to solve simple story problem involving addition or subtraction of fractions. They solve and simplify addition and subtraction problems involving fractions with like denominators and learn that multiple simple fractions can represent the same quantity. They learn to identify whether specific events are certain, likely, unlikely, or impossible; record the possible outcomes for a simple event; summarize and display the results of a probability experiment; represent data on scaled graphs; and use the results of a probability experiment to predict future events.

- Represent and Name Fractions (parts A, B)
- Equivalent Fractions
- Compare and Order Fractions (parts A, B)
- Probability
- Identify, Record, and Display Outcomes
- Drawing Scaled Graphs (parts A, B)
- Interpreting Scaled Graphs
- Use Data to Make Predictions
- Core Focus

#### Unit 11: Measurement: Length and Time

Students learn the appropriate tools and metric and English units for measuring the length of objects. They practice estimating and measuring the length of an object to the nearest centimeter, 1/2 inch, and 1/4 inch. They learn to tell time to the nearest minute, determine elapsed time to the nearest minute, and solve word problems involving time intervals.

- Tools and Units for Measuring Length
- Estimate and Measure Centimeters
- Estimate and Measure Inches (parts A, B)
- Display Measurement Data in Line Plots
- Tell Time in Minutes
- Determine Elapsed Time in Minutes
- Measuring and Displaying Time Intervals
- Core Focus

#### Unit 12: Measurement: Capacity and Weight

Students learn the appropriate tools and metric and English units for measuring liquid volume and weight. They practice estimating and measuring liquid volume to the nearest liter and cup, and weight of an object to the nearest gram and ounce. They write simple unit conversions as expressions and equations and use simple unit conversions, such as centimeters to meters, to solve problems.

- Capacity
- Measure to the Nearest Liter
- English Units of Capacity
- Measure in English and Metric Units
- Measure in Grams
- Measure Weight in Ounces and Pounds
- Unit Conversions
- Measurement Conversions (parts A, B)
- Core Focus

#### Unit 13: Mathematical Reasoning

Students practice analyzing story problems by identifying the question, recognizing relevant information, and developing a solution strategy. They learn how to break a multistep story problem into simpler steps, predict solutions to story problems, and apply strategies and results from simpler problems to similar or more complex problems. They practice mathematical reasoning in story problems by using words, numbers, symbols, charts, graphs, tables, diagrams, and models; learn how to express solutions with appropriate mathematical notation, terms, and accurate language; and check the accuracy of a solution to a story problem.

- Analyze Story Problems (parts A–C)
- Understand Multistep Problems
- Estimate to Predict Solutions
- Strategies to Solve Complex Problems
- Story Problem Reasoning (parts A, B)
- Exact and Approximate Solutions
- Core Focus

#### Unit 14: Perimeter and Area

Students learn to determine the perimeter of a polygon with whole-number side lengths. They practice using multiplication and division to solve story problems involving rectangular area. They learn to estimate or determine the number of squares or cubes required to cover the area of a solid figure.

- Find the Perimeter of Objects
- Finding the Missing Side Length
- Practical Perimeter Problems with Missing Length
- Rectangular Area (parts A, B)
- Core Focus

#### Unit 15: Semester Review and Checkpoint

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### K12 Scope & Sequence documents for each course include:

- Course Overview (as seen above)
- Course Outline
- Lesson Time and Scheduling