Cluster 4: Work with addition and subtraction equations. (Major Cluster)Archived

Students are given sets of equations and asked to circle the equations that are true.

Type: Formative Assessment

Students are given a set of equations and asked to circle the equations that are true.

Type: Formative Assessment

Students examine four equations and state if they are true or not true. Students must also justify their reasoning.

Type: Formative Assessment

Students are read a word problem and given an equation that matches the problem, and then asked to solve for the unknown in the equation.

Type: Formative Assessment

Students are given equations and asked to find missing numbers.

Type: Formative Assessment

Students are asked to find the unknown in three different equations and explain their reasoning.

Type: Formative Assessment

Students are asked to justify why two equations are true using two different strategies.

Type: Formative Assessment

Students are given equations with a missing number and asked to find the missing number.

Type: Formative Assessment

The student determines if a given equation is true or false.

Type: Formative Assessment

Students will participate in a variety of activities and use part-part-whole graphic organizers to discover unknown addends in put together addition situations.

Type: Lesson Plan

In this lesson, students will apply properties of addition in order to add three whole numbers. Students will then decompose the sum using tens and ones.

Type: Lesson Plan

Students will explore the meaning of the equal sign by creating and completing equations that have two addends on each side of the equation. Note that this lesson focuses on addition equations, though it can easily be adapted to include subtraction equations.

Type: Lesson Plan

Students will explore the meaning of the equal sign by representing an equation with manipulatives on a scale. The students will be asked to decide if an addition or subtraction equation is true or false by proving it with and without a scale. Students will determine the missing number in addition or subtraction equations.

Type: Lesson Plan

This is an engaging, hands-on lesson to help the students understand the meaning of the equal sign. The lesson is written using a pan/equal arm balance but may be done with just connecting cubes.

Type: Lesson Plan

This lesson helps students to understand the meaning of the equal sign and to realize that one side of an equation must equal (balance) the other side of the equation.

Type: Lesson Plan

This lesson will introduce the concept of determining missing numbers in addition equations.

Type: Lesson Plan

This lesson teaches students to use the strategy doubling numbers and doubles plus or minus one in order to use mental math to add one-digit numbers. The students are engaged in learning through the read-aloud of "Double the Ducks" by Stephen Murphy and then get to work with a partner to draw doubles and write equations that relate to their drawings. Students individually work on solving word problems using these strategies and manipulatives as necessary to solve.

Type: Lesson Plan

In this lesson, students will explore true and false addition and subtraction equations through a variety of hands-on learning activities. Detailed center ideas are also covered in this lesson.

Type: Lesson Plan

Learn how to tell whether an equation is true or false based on what you know about the equal sign as you complete this interactive tutorial.

Type: Original Student Tutorial

The purpose of this instructional task is for students to help students understand the meaning of the equal sign and to use it appropriately. The idea is that students should be comparing the number of circles in each of the rectangles and to write an equation that reflects the fact there are an equal number in each of the boxes (when this is the case).

Type: Problem-Solving Task

This task asks students to solve addition and subtraction equations with different structures so that they are able to see the connections between addition and subtraction more easily. Examples should be presented with the the sum or difference on either side of the equal sign in order to dispel the notion that = means "compute."

Type: Problem-Solving Task

In all versions, students must engage basic addition and subtraction facts. In the memory version, after a student has turned over one card, in order to know whether there is a match using cards they've seen, they need to to solve equations of the form ?+b=c, b+?=c, ?-b=c, and b-?=c.

Type: Problem-Solving Task

The purpose of this task is to help broaden and deepen students' understanding of the equals sign and equality. This task helps students attend to precision by helping them explicitly attend to the meaning of mathematical notation and carefully analyze whether it is being used correctly.

Type: Problem-Solving Task

The act of trying to find equal lengths with the rods helps students develop a physical understanding for the meaning of equality. Students are more likely to generate and understand complex equalities than they would be able to do only abstractly.

Type: Problem-Solving Task

In this tutorial, you will learn to use symbols to record an unknown whole number in a subtraction equation relating to three whole numbers.

Type: Tutorial

In this tutorial, you will learn to use symbols to record an unknown whole number in an addition equation relating to three whole numbers.

Type: Tutorial

This tool helps students better understand that equality is a relationship and not an operational command to "find the answer." The applet features a pan balance that allows the student to input each half of an equation in the pans, which responds to the numerical expression's value by raising, lowering or balancing.

Type: Virtual Manipulative