Mathematics Number Sense Algebra

Algebra 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
	Refine, apply integer background.	-Integer Activities 1. Integer Alphabet Activity Cards 2. ABC Terrific -Show history of math and how math solved problems of the times.	-Use integer concept without worksheet or calculator. -View video Music of the Spheres.	Test will assess integer knowledge.	Will do task on card chosen by teacher. Results are compared.	-The Middle School Mathematician, pp. 62,63. -Video Music of the Spheres.
Algebra 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
	Select and use appropriate method for computing from mental arithmetic, paper and pencil, calculator and computer methods.	-1. Matching Pairs Game: Cards are used matching algebraic expressions to words. -2. The Numbers Game: Interpret math sayings. -3. Create inventory of math symbols and their meaning.	-Recognize the verbal meanings of algebra terms and be able to translate verbal into algebra. -Students list math symbols and their meaning.	-Completion of both games. All pairs correctly matched in 1st. Discussion for 2nd. -Create poster or review sheet on math symbols and their meaning.	-Play two games that require student to connect math expressions to verbal and visual version. -Students look up or interview older students on advanced math symbols.	- The Middle School Mathematician, pp. 50 - 53. - Hands-On-Projects, pp. 302-305.
Algebra 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 use of order of operations to evaluate expressions.	-O-Cubed Directions Game: Will provide game sheet, scissors, directions for play. - Order of Operations PEMDAS- "Please excuse my dear Aunt Sally"	- Know how to use order of operations to produce answers to problems. - Game one person "in charge" of each letter PEMDAS - group solves problems.	Will follow on test using order of operations.	Be dealt card and use either of two options to use order of operations for evaluation.	Everyday Algebra, pp. 23, 24.
Algebra 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
	Define, solve, give examples of simple equations and inequalities.	Personalized word problem project. Will explain project to class, generate example sheet.	- Recognize link between word problems and algebraic expressions. - Practice equation solving as they do project.	- Graded Project. - Students will also do puzzles and problems about themselves.	Interview a fellow classmate. Develop problems requiring logic puzzles and equations based on person.
Algebra 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
	Use ordered pairs.	- Function Beans. - Ordered Pairs Game. (Distribute and explain the directions for each game.) - Use navigation and longitude and latitude coordinates.	-Experiment with various functions and the ordered pairs produced. -Students use coordinates to find location of floating objects at sea, buried treasures.	-Will follow on test which uses functions and ordered pairs. -Treasure hunt.	-In pairs, students will do activities related to ordered pairs. -Students create other applications of ordered pairs.	- Hands-On-Math, pp. 64-65. - Hands-On-Algebra, p. 36.
Algebra 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
	Use, develop properties of real numbers.	-Properties Game: Explain auction method. Pass out game sheets and sections. -Property of signed real numbers.	-Recognize how algebraic properties are used to produce equivalent expressions. -Destroyer Game.	Will follow on test which evaluates knowledge of properties.	Work with algebraic properties to provide answers which can then be used to bid with in auction.	- The Middle School Mathematician, pp. 54-55.
Algebra 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
	Compare, classify, contrast real number system (& subsystems) by characteristics.	-The Yuruba Number System. Explain various number systems. Give worksheet. -Visualize number system by characteristics.	- Recognize a new number system and how it relates to our system. - Draw a Venn Diagram of the number systems.	A mini-project will be assigned so students will look at other number systems.	Complete worksheet with a partner.
Algebra 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
	Operate on expressions to solve equations and inequalities.	Calculator activities for: solving equations checking inequalities writing equations	Use principles of equation and inequality solving using a calculator.	Test will assess ability to solve equation and inequalities.	In groups of four, work on problems sheet.
Algebra 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, illustrate, extend real world problems using numerical, graphical, and symbolic representations.	- Pizza Findings. - Something Fishy. Teacher will supply information sheet, paper, scissors. - Use real world problem to apply numerical, graphical and symbolic representations.	-Use worksheet to solve problems using manipulatives created. -Use diagram and data about current video store to design new layout and inventory.	-Discuss answers to problems with each group using manipulatives to illustrate. -Final design of new video store.	-Make paper pizzas with various ingredients. -Make various colored fish and tank. (Done in groups.)	- Everyday Pre-Algebra, pp. 33, 36. - Algebra, Chicago 2nd Edition, Chapter 6 Test, Form D.
Algebra 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
	Make arguments and proofs in algebraic settings.		-Learn to use calculator. Manipulate formulas for slope and distance using calculator. -Students use software to investigate the pattern of slope and equation.	Test will assess knowledge of slope and distance.	Math Applications.	- Hands-On Algebra, pp. 64,67-68. - T-Math Software. - Zounds!, p.216.
Algebra 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
	Determine slope, midpoint, and distance.	- TI-81 Activity Sheets on slope - distance formula. - Investigate relationship of equations and their graphs.	Be able to write equations in standard form using slope and y-intercept.	Develop additional game cards to make a classroom version of game.	-Follow directions to calculate slope and distance using graphing calculator. -From equation predict slope.	- The Middle School Mathematician, pp. 91-92.
Algebra 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
	Solve, generate, extend systems of linear equations with two variables.	What's My Line game -Pass out directions and game equipment.			Make various game pieces as required. Work in pairs to play the game.
Algebra 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
	Solve, develop rational functions in symbolic and graphing settings.
Algebra 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 quadratic equations, quadratic formula.	- Graphing calculator Activities on - Quadratic Formulas - Application - Develop factoring skills in order to solve quadratic equation.	Use a calculator to evaluate an equation using the quadratic formula.	-Test will assess ability to use quadratic formula. -Algebra Tile.	Follow instructions to use quadratic formula and applications using a calculator.	Hands-On Algebra, pp. 69, 73-74.
Algebra 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
	Display problem situations using discrete math (graphs, sequences).	- Do some sample sequences on overhead; give three sequence sheets to each group. - Display problem situations in graphs.	Present results to class and explain why sequence was completed.	- Develop at least five sequence problems per group. These will be coordinated into an activity. - Collect data from real school situations and graph.	-Work in groups to complete sequencing sheets. -Analyze advertisements to see how data is displayed to support product.	Everyday Pre-Algebra, pp. 46-48.
Algebra 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
	Identify finite graphs using matrices.	Graphing calculator activity On Matrices - A-1. - B-2.	Recognize role of matrices in helping to solve equations.	Test will assess ability to use matrices - both with and without calculator.	Follow instructions to use a calculator with matrices.	Hands-On Algebra, pp. 64-65.
Algebra 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
	Set parameters for project work.	Set parameters for project work.	Recognize the life and work of mathematicians through development of: Poster Project. ID Game. Scrapbook/Memory Box	Project will be graded based on criteria given.	Research life of mathematician.Edit important information; present information in the suggested format.	Research materials.