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Descriptive Statement: Numerical operations are an essential part of the mathematics curriculum. Students must be able to select and apply various computational methods, including mental math, estimation, paper-and-pencil techniques, and the use of calculators. Students must understand how to add, subtract, multiply, and divide whole numbers, fractions, and other kinds of numbers. With calculators that perform these operations quickly and accurately, however, the instructional emphasis now should be on understanding the meanings and uses of the operations, and on estimation and mental skills, rather than solely on developing paper-and-pencil skills.
 

Topic/Unit Timeline	Cumulative Progress Indicators	Objectives	Suggested Activities	Materials	Evaluation
Numerical Operations     Timeline 1st Q 3rd Q	Building upon knowledge and skills gained in the preceding grades, and demonstrating continued progress in Indicator 6, by the end of Grade 8, students will: Extend their understanding and use of arithmetic operations to fractions, decimals, integers, and rational numbers.	Compute with integers Compute with rational numbers	See Lessons 3-3, 3-4, and 3-5. See Lessons 7-5 and 7-6.	Hot Page software, Math Tools software "Frames", math journal Fraction bars, math journal	"On Your Own" examples, teaching resources provided by the publisher Same as #1
Timeline 1st and 3rd Q 3rd Q	Extend their understanding of basic arithmetic operations on whole numbers to include powers and roots.	Evaluate expressions that contain powers Perform calculations with roots	See Lessons 3-8 and 7-8. See Lesson 7-11.	Investigations software "The Pythagorean Theorem", math journal, Hot page software, Math Tools software "Frames" Math journal	"On Your Own" examples, teaching resources provided by the publisher, Hot page record sheet "On Your Own" examples, teaching resources provided by the publisher

 
 

Topic/Unit Timeline	Cumulative Progress Indicators	Objectives	Suggested Activities	Materials	Evaluation
Numerical Operations Timeline 1st Q 4th Q	Develop, apply, and explain procedures for computation and estimation with whole numbers, fractions, decimals, integers, and rational numbers.	Apply the properties of numbers for mental math shortcuts Estimate in problems involving percents, as in the case of tipping	See Lesson 3-6. See Lesson 10-2.	Math Tools software "Frames" Math journal	"On Your Own" examples, teaching resources provided by the publisher Same as #1
Timeline 4th Q 3rd Q	Develop, apply, and explain methods for solving problems involving proportions and percents.	Explore different methods for solving problems containing percents Apply a proportion model to solve word problems	See Lessons 10-3 and 10-4. See Lesson 8-3.	Hot Page software, Investigations software "Crisis in Hydrotown", math journal Hot Page software, math journal	"On Your Own" examples, teaching resources provided by the publisher, Hot Page record sheet Same as #1
Timeline 1st Q 1st Q	Understand and apply the standard algebraic order of operations.	Evaluate expressions by applying the standard order of operations Evaluate expressions with exponents	See Lesson 3-5. See Lesson 3-8.	Math Tools software "Frames", math journal Math Tools software "Frames", Investigations software "The Pythagorean Theorem", math journal	"On Your Own" examples, teaching resources provided by the publisher Same as #1

 

Resources Using Manipulatives to Explain Sign Multiplying Lessons on Integers Mystery Operations  -In this activity the computer makes up a mystery operation, and you have to figure out what the                                               operation is.