Mathematics Number Sense Grade 7

Grade 7 In the Area of: Number Sense & Number Systems
1	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Develop and describe the connections between forms of numbers (whole, fractions, decimals, percents).	Explain Parade of Triplets activity from AIMS.	Graphically determine the relationships between fractions, decimals, and percents.	Based on worksheet.	Tipping?! How can you compute 15%, 10% or 20% tip other than by multiplying by .15, .1 or .2?	AIMS July/August '96.
Grade 7 In the Area of: Number Sense & Number Systems
2	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Develop and use common decimal & fraction equivalents between 0-1.	Demonstrate how to change fractions to decimals and decimals to fractions.	Change fractions to decimals; decimals to fractions; memorize common equivalents.		Burger Jack's ads claim that their 1/2 lb. burger contains 50% more beef then Winnie's 1/3 lb. burger. Is this claim true? Defend your answer with chart and manipulatives.	Transition Math.
Grade 7 In the Area of: Number Sense & Number Systems
3	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Demonstrate powers & scientific notation as alternate ways of writing numbers with the assistance of calculators.	Show how very large and very small can be written using positive and negative exponents and scientific notation.	Convert very large and very small numbers to decimals.	Students write examples of very large and very small members and their relationships to "real" items.	Exploring the size of One Millionth, p. 24 (see Resources).	- Transition Math. - NCTM Addenda Series: Developing Number Sense.
Grade 7 In the Area of: Number Sense & Number Systems
4	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Identify, use scientific notation.	Have students list planets in order of distance from sun in decimal and scientific notation.	Be able to give examples of very large and very small numbers such as real life statistics.	With calculator, determine when positive and negative integer powers become small enough to appear in scientific notation.	Give examples of scientific notation in real life situations.	Transition Math.
Grade 7 In the Area of: Number Sense & Number Systems
5	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Develop, apply theories of primes, factors, multiples in real world and mathematical problem situations.	Explain how to use Sieve of Eratosthenes; and how to use number boards and unifix cubes.	Find all primes between 1 and 100; use the 100 board to verify the fundamental theorem of arithmetic.	Summarize findings and patterns.	Find information on the Goldbach Conjecture to present to class.	Patterns and Functions, Addenda Series 5-8.
Grade 7 In the Area of: Number Sense & Number Systems
6	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Apply order of operations to evaluate numerical expressions.	- Present various activities and topics for discussion - How is it Possible? What comes first? - Practice with parentheses.	Demonstrate importance of order of operations; evaluate expressions using order of operations.	Evaluate expressions using order of operations.	Chart/skit mnemonic device to remember order of operations.	"Order of Operations," The Textbook Series in Curriculum Center, p. 11 and following.
Grade 7 In the Area of: Number Sense & Number Systems
7	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Explain and apply the Associative, Commutative, & Distributive Properties of Numbers.	Have students look up meanings of associate, commute and distribute; discuss how meanings can be related to math.	Relate everyday meanings of associate, commute and distribute to math; recognize and apply properties.	Student will name, define and illustrate each property.	Diagram/skit to show application of one of these properties.
Grade 7 In the Area of: Number Sense & Number Systems
8	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Compare, develop square roots.	Have students write the squares of 0 - 20. Explain what is meant by square root, using radical sign.	List square roots of perfect squares up to 400; find square roots using square root key on calculator.	Write an explanation re: "What is a square root?" Use manipulatives to illustrate.	Write squares above 20.
Grade 7 In the Area of: Number Sense & Number Systems
9	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Develop concepts of integers & rational numbers using concrete models (number lines, manipulatives, etc.) in the context of real world situations.	Draw number line on board. Explore with class numbers above zero - is there anything less than 0? etc.	Explain how integers relate to real world using ideas of temperature, altitude, stock market.	Written paragraph on integers in the real world.	Is the sum of 2 consecutive integers odd or even? Always? How about the product of 2 consecutive integers? 3? Show your reasoning.	- Number line. - Journals.
Grade 7 In the Area of: Number Sense & Number Systems
10	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Sort, describe simple interest.	Teacher models computing simple interest. Compares interest rates of local financial institutions.	Students follow stock in market; show rate of gain or loss.		Graph and explain the growth of population over time of a colony that doubles once a day.	- Newspapers. - Graph paper.
Grade 7 In the Area of: Number Sense & Number Systems
11	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Formulate strategies to use signed numbers in addition & subtraction situations.	Distribute disks and worksheets to students; explore concept of additive inverses - do worksheet, pp. 22, 23, 24 together.	Add and subtract integers using colored disks and worksheet, p. 25.	Correct completion of worksheet.		- Two-colored disks. - Algebra for Everyone.
Grade 7 In the Area of: Number Sense & Number Systems
12	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Recognize, calculate absolute value.	Demonstrate absolute value as the distance from zero on a number line.	Solve expressions using absolute value.	Students will explain absolute value in own words.		Transition Math.
Grade 7 In the Area of: Number Sense & Number Systems
13	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Formulate strategies to use signed numbers in multiplication & division situations.	Distribute disks and worksheets to class. Demonstrate how to multiply or divide integers.	Show how to multiply or divide integers using worksheets on pp. 24-28 and disks.	Worksheet on p. 29.		Focus on Pre-Algebra.
Grade 7 In the Area of: Number Sense & Number Systems
14	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Solve expressions, using order of operations on a calculator.	Distribute worksheet, Technology Corner, pp. Review parentheses and exponents on a calculator.	Solve expressions using order of operations on a scientific calculator.			Order of Operations, The Textbook Series, p. 35.
Grade 7 In the Area of: Number Sense & Number Systems
15	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Compare and develop operations with fractions & mixed numbers.	Distribute pattern blocks and worksheets. Demonstrate activity with class.	Demonstrate fraction relationships and operations using pattern blocks.	Write a paragraph to demonstrate understanding of relationships and operations with fractions.		Fractions With Pattern Blocks, Creative Publications.
Grade 7 In the Area of: Number Sense & Number Systems
16	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Use, interpret ratios & proportions.	Review scale drawings. Explain activity, Honey, I Shrunk the Kids, p. 57.	Analyze information on worksheet 21B, Honey, I Shrunk the Kids.	Use questions on worksheet - include explanations.	Use scale factors to create fractals.	Measurement In the Middle Grades, Addenda Series 5 - 8.
Grade 7 In the Area of: Number Sense & Number Systems
17	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Generate ordered pairs to graph linear equations.	Demonstrate how to make table of x y-values to produce ordered pairs for graphing linear equations.	Graph linear equations.	Tables and graphs.
Grade 7 In the Area of: Number Sense & Number Systems
18	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Use, interpret decimals, percents, and fractions in estimating.	Give directions for activities 29, 31, 32, and 34 from, Developing Number Sense.	Verbalize reasoning in estimation.	Any of activities could be used to evaluate student's estimation reasoning.	-Use calculator to explain the effect of operations on decimals. - The Maze, p. 41, Developing Number Sense.	Developing Number Sense Addenda Series 5 - 8.