Mathematics Patterns Relations and Functions Grade 7

Grade 7 In the Area of: Patterns, Relations, & Functions
1	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Compare two or more representations of the same data: graphs, tables, diagrams, words, and mathematical rules.	Put up headings for 2 or 3 types of representation of data. Through questioning the teacher elicits the type of information that are ( and aren't) readily communicated by each type of visual representation.	Are asked to compare orally or in written essay various combinations of data representations and then describe how to decide which representation to use for a given set of data.	Accurate description of advantages of each type of data representation	Develop and publish a student's guide to data representation with examples and listing advantages of each type.
Grade 7 In the Area of: Patterns, Relations, & Functions
2	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Apply number theory concepts to patterns.	Introduce figurate (polygonal) numbers.	Explore number patterns using polygonal numbers and Pascal's Triangle.		Use Pascal's Triangle to find number patterns.	- Geometry In the Middle Grades, p. 33. - Addenda Series.
Grade 7 In the Area of: Patterns, Relations, & Functions
3	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Describe, identify and extend various patterns.	Distribute worksheet for discovering patterns with lines.	Discover patterns in the number of diagonals of polygons.	Students will tell how patterns are alike and how different.	The Language of Numbers activities.	- Geometry In the Middle Grades, p. 35. - Zounds!, p.86.
Grade 7 In the Area of: Patterns, Relations, & Functions
4	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Use algebraic expressions to model situations.	Give students 8 1/2 X 11 paper to fold in half as many times as they can.	Make a chart showing number of folds, number of regions, and area of smallest region from 1 to n number of folds.		Play the Tower of Hanoi Game.	- Patterns and Functions, p. 14. - Addenda Series
Grade 7 In the Area of: Patterns, Relations, & Functions
5	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Solve linear equations with one variable.	Models process with an overhead Alge-Tiles giving number value to colored tiles. Models +, -, x, � process.	Solve linear equations from text, as directed by teacher. Share reasoning/process.	Correct solution. Acceptable reasoning.		Any pre-algebra text.
Grade 7 In the Area of: Patterns, Relations, & Functions
6	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Describe and apply to algebraic expressions the relationship among ratio, proportion and percent.			Correct representation in chart.		Teacher-made chart.
Grade 7 In the Area of: Patterns, Relations, & Functions
7	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Use, generate, develop ordered pairs to graph equations using a calculator.	Distribute graphing calculators and assignment sheet, p. 19, and Ex. 11-17, p. 20.	Use the graphing calculator to explore, compare and predict graphs.	Examples 1 - 10 p. 20.		- Graphing Calculator. - Algebra for Everyone.
Grade 7 In the Area of: Patterns, Relations, & Functions
8	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Develop direct and indirect variations.	Introduces concept of variation (direct, indirect) through description of action of cue ball (in pool) hitting 2 balls that are touching.	Model diagram of pool shot. I for indirect variation. D for direct.		Investigate other examples of direct/indirect variation. Relate to weather, chemical, catalysts, group behavior, etc.	Teacher-made worksheet.
Grade 7 In the Area of: Patterns, Relations, & Functions
9	Outcome (The student will...)	Instructional Strategies (The teacher may...)	Learning Activities (The student may...)	Assessment	Extension (The student will...)	Resources
	Recognize, apply, describe the Distributive Property by area models.	Distribute the Distributive Law worksheet and algebra tiles. Students work in groups.	Use algebra tiles to investigate solving expressions involving the distributive properties.		Use graph paper to diagram distributive property.	The Algebra Lab, Middle School, p. 112.