Writing And Evaluating Equations

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Grade 7: The Learning Equation Math

22.01 Writing And Evaluating Equations

2icon.jpg (3565 bytes)

Variables and Equations

Refresher pp 48-9

Learning Outcomes:

The student will:

write mathematical expressions that arise from problem-solving contexts.

Lesson on Writing Algebraic Equations

Words for Operations

Algebra.help -- Basic Word Problems

evaluate expressions with and without concrete models.

Concrete Models

Example 1:

Get at least 10 dimes, nickels and quarters.

Take out 5 dimes. If you have twice as many nickels, how many nickels do you have? 10

Take out 3 quarters. If you have 2 more than twice as many dimes, how many dimes do you have? 8

Spreadsheets

Try to guess the value in the a - 4 column as you enter 2, 3, and 4 in column a and

source: Robert's Online Spreadsheet! Disclaimer.

Try to guess the value in the 2a + 5 column as you enter 2, 3, and 4 in column a and

source: Robert's Online Spreadsheet! Disclaimer.

Study the pattern in the table below to detemine the mathematical expression (??) used to generate the second column.

a	??
0	1
1	4
2	7
3	10
4	13

Interactive problems

Enrichment:

A-E

F-J

K-O

P-R

S-Z

algebra, expression, constant, variable, substitute, formula

"Sorry, a Java enabled browser is required for this puzzle." <>

Prerequisite Skills:

Demonstrate and explain the meaning and preservation of equality by balancing objects, or by using models and diagrams.

This applet shows a symmetric lever with some mass pieces each of which has a weight of 1.0 N. The lever arms can be read off from the coloured rectangles; one rectangle corresponds to 0.10 m. The lever is in balance, when the applet is started.

You can attach a new mass piece or put it to another place with pressed mouse button. In a similar way you can remove a mass piece by clicking on it.

source: Lever Principle

Use pre-algebra strategies to solve equations with one unknown and with whole number coefficients and solutions.

Add, subtract, multiply, and divide integers concretely, pictorially, and symbolically.

Adding Integers: Grade 7 Lesson 12.04
Subtracting Integer: Grade 7 Lesson 12.05
Multiplying Integers: Grade 7 Lesson 12.01
Division Integers: Grade 7 Lesson 12.02

Illustrate and explain the order of operations.

Order of Operations: Grade 7 Lesson 12.03

Use patterns and relations to represent simple oral and written expressions as mathematical symbols and vice versa.

Patterns and Relations: Grade 7: Lesson 21.01

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