Cluster 1: Use properties of operations to generate equivalent expressions. (Major Cluster)Archived

Students are asked to solve a geometric problem by simplifying an algebraic expression.

Type: Formative Assessment

Students are given equivalent expressions with rational coefficients and asked to explain what each expression represents within the context of the problem.

Type: Formative Assessment

Students are given equivalent expressions with rational coefficients and asked to explain what each expression represents within the context of a problem.

Type: Formative Assessment

Students are given a polynomial with rational coefficients and asked to identify equivalent expressions from a given list.

Type: Formative Assessment

Students are given two expressions and asked to rewrite each in factored form using the fewest number of terms.

Type: Formative Assessment

Students are given an expression and are asked to identify expressions equivalent to it.

Type: Formative Assessment

This lesson allow students to gather, calculate, and plot data using both computer code and mathematical equations. In this lesson students will create a pedometer app to demonstrate the understanding of algorithms, components (such as buttons, textboxes, sensors, etc.), and If/Then statements. This lesson uses algebraic equations and random data to access the needed components to store data in a spreadsheet.

Type: Lesson Plan

This lesson shows how data can be represented by computers, in relation to everyday activities we may not be aware that we use computer. It gives an overview of graphing data by creating a histogram based on population data. Using the data collected, students will get a chance to hand write code to show what structure is needed for computers to collect, analyze and distribute such data. This lesson is lesson 1 of the Data Set and Deviation Statistics Unit and bridges statistical concepts of data collection, graphing and analysis with programming a computer using coding language while reinforcing foundational algebraic skills.

Type: Lesson Plan

In this MEA, the students will compare data to decide which franchise would be best for a person who is moving into an area and wants to open up their own fried chicken franchise.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

This lesson unit is intended to help you assess how well students are able to understand and use directed numbers in context. It is intended to help identify and aid students who have difficulties in ordering, comparing, adding, and subtracting positive and negative integers. Particular attention is paid to the use of negative numbers on number lines to explore the following structures:

• starting temperature + change in temperature = final temperature
• final temperature – change in temperature = starting temperature
• final temperature – starting temperature = change in temperature

Type: Lesson Plan

This lesson unit is intended to help you assess how well students are able to form and solve linear equations involving factorizing and using the distributive law. In particular, this unit aims to help you identify and assist students who have difficulties in using variables to represent quantities in a real-world or mathematical problem and solving word problems leading to equations of the form px + q = r and p(x + q) = r.

Type: Lesson Plan

Using the notion of a broken robot, this lesson provides opportunities for students to apply different strategies and properties to expand, add, subtract, or multiply to determine equivalent expressions. The students will analyze their procedures and answers.

Type: Lesson Plan

This lesson helps build the student's ability to see relationships and meanings of algebraic expressions. Students utilize prior knowledge of properties to identify equivalent expressions. Percent problems are not utilized in this lesson.

Type: Lesson Plan

Introductory lesson on the distributive property using word problems as context for area models.

Type: Lesson Plan

Learn how to combine like terms to create equivalent expressions in this cooking-themed, interactive tutorial.

Type: Original Student Tutorial

Students are asked to determine if two expressions are equivalent and explain their reasoning.

Type: Problem-Solving Task

In this task students are asked to write two expressions from verbal descriptions and determine if they are equivalent. The expressions involve both percent and fractions. This task is most appropriate for a classroom discussion since the statement of the problem has some ambiguity.

Type: Problem-Solving Task

This video demonstrates how to factor a linear expression by taking a common factor.

Type: Tutorial

This introductory video teaches about combining like terms in linear equations.

Type: Tutorial

This video models solving equations in one variable with variables on both sides of the equal sign.

Type: Tutorial

Lesson Plan 1: Miles of Tiles - The Pool Border Problem, students will recognize patterns and represent situations using algebraic notation and variables. Lesson Plan 2: Cups and Chips - Solving Linear Equations Using Manipulatives, students use manipulatives to represent visually the steps they take to obtain a solution to an algebraic equation. They develop an understanding of the connections between the solution involving manipulatives and the symbolic solution. Students work in teams of four. Site includes a Topic Overview, Lesson Plans, Student Work, Teaching Strategies, Resources, and a video of Workshop 1; Part 1.

Type: Unit/Lesson Sequence