Textbook Lessons

Component Content

1. Students will be able to solve consumer-related problems:
A. Students will find and use formulas.
B. Students will determine profit and loss.
C. Students will determine commission and gratuity.
D. Students will determine sales tax.
E. Students will determine discount, sale price, and

original price.
F. Students will determine unit cost.
G. Students will determine interest, principal, and balance.

2. Students will be able to analyze and interpret statistics and graphs.
A. Students will find range, mean, median, and mode.
B. Students will make line plots, stem and leaf plots, and scattergrams.
C. Students will find data from a graph.
D. Students will use terms properly.
E. Students will plot points on coordinate plane.
F. Students will find odds and probability and make predictions based on them.

3. Students will be able to solve problems using operations with rational numbers.
A. Students will apply four operations to integers.
B. Students will apply four operations to real numbers.
C. Students will choose appropriate operations to solve equations.

4. Students will be able to solve problems using measurement, precision, and conversion.
A. Students will measure lengths, volumes, and weights in English and metric systems.
B. Students will round off measurement and error.
C. Students will determine greatest possible errors numbers.
D. Students will convert within each of the two systems.

5. Students will be able to draw conclusions and solve problems using geometric principles.
A. Students will calculate areas and perimeters of triangles, quadrilaterals, and other polygons.
B. Students will apply volumes and surfaces of prisms, cones, pyramids, cylinders, and spheres.
C. Students will use the vocabulary of polygons.
D. Students will find missing values of polygons.
E. Students will draw conclusions using geometric principles.
F. Students will solve problems using geometric principles.

6. Students will be able to solve multi-step algebraic equations and solve and graph linear equations.

A. Students will apply order of operations.
B. Students will substitute variables and evaluate equations.
C. Students will solve problems by trial and error.
D. Students will solve one-step equations.
E. Students will solve two-step equations.
F. Students will transform equations using grouping symbols.
G. Students will use function notation.
H. Students will identify the range and domain of functions.
I. Students will make tables of solutions.
J. Students will graph solutions from a table.

7. Students will be able to translate from English terms to algebraic equations.

A. Students will know key words for the four operations.
B. Students will write expressions.
C. Students will identify the unknown quantities.
D. Students will write equations from written/oral problems. Manipulative Laboratories

Component Content

1. Students will be able to construct and manipulate integers using Base-n (2,5,6,10, etc.) blocks (or alternative materials, such as paper):
A. Students will construct integers using blocks of various number bases.
B. Students will add, subtract, and reduce integers using blocks of various number bases.
C. Students will multiply, divide, and reduce integers using blocks of various number bases.
D. Students will make the correlation between block manipulations and carrying in the place value number system.

2. Students will be able to construct and manipulate rational numbers using fraction tiles (or alternative materials, such as paper):
A. Students will construct rational numbers using fraction tiles.
B. Students will add, subtract, and reduce rational numbers using fraction tiles.
C. Students will multiply, divide, and reduce rational numbers using fraction tiles.

3. Students will be able to construct and manipulate signed integers using signed number manipulatives.
A. Students will construct signed integers using appropriate manipulatives.
B. Students will add and subtract signed integers using appropriate manipulatives.
C. Students will multiply and divide signed integers using appropriate manipulatives.

4. Students will be able to construct and manipulate algebraic expressions (second degree polynomials) using algebra tiles (or other materials, such as paper):
A. Students will construct algebraic expressions using algebra tiles.
B. Students will add and subtract algebraic expressions and combine like terms using algebra tiles.
C. Students will multiply and divide algebraic expressions and combine like terms using algebra tiles.

Calculator Activities

1. Students will be able to effectively perform basic numeric and operation key stroke activities:
A. Students will use and manipulate the calculator's order of operations to solve problems.
B. Students will utilize the calculator's memory input and output functions to store, retrieve, and use values in the problem solving process.
C. Students will utilize selected special operation keys (squaring function, square root function, inverse function, fraction/decimal conversion, and parentheses) to enhance the problem solving process.
D. Students will engage in explorative calculator activities (individual and group games) that promote calculator skills and numerical literacy.