Mathematics and the World We Live In  Scope and Sequence with Resources

Secondary Math Resources

 First Nine Weeks Second Nine Weeks Third Nine Weeks Fourth Nine Weeks

1st. Nine Weeks

Blue Print Objective

Tennessee Standard

Resources

Assessment

Week 1 – Mid Week  3

Chapter 1

Integers

8.1.1.i. use appropriate mathematical language and symbols to express numerical relationships (e.g., <, >, =, ³ )

8.1.1.l. demonstrate understanding of opposites, reciprocals, and integers

8.1.1.m. identify the opposite of a rational number

8.1.1.n. use concrete, pictorial, and symbolic representations of integers

8.1.2.a. understand the meaning and effects of arithmetic operations with fractions, decimals, and integers

8.1.2.b. apply the associative and commutative properties of addition and multiplication to simplify computations with integers, fractions, and decimals

8.1.2.d. apply order of operations in computing with rational numbers

8.1.2.e. understand and use the inverse relationships of addition and subtraction, multiplication and division, and squaring and finding square roots to simplify computations and solve problems

8.1.3.a. select and use appropriate methods and tools for computing with whole numbers, fractions, decimals, percents, and integers in problem-solving situations (e.g., mental computation, estimation, calculators, computers, paper and pencil)

8.1.3.b. develop and analyze procedures for computing with fractions, decimals, and integers

8.1.3.e. solve one-step real-world problems involving whole numbers, fractions, decimals, and percents

8.1.3.g. solve multi-step real-world problems involving whole numbers, fractions, decimals, and percents

8.2.2.c. use symbolic algebra to represent situations and solve problems

8.2.2.f. evaluate a first-degree algebraic expression given values for two or more variables;

8.2.2.g. solve one- and two-step linear equations involving integers

8.1 spi 1,2,8,11

8.2 spi 2,3

Chapter 1 Assessment

Mid Week 3  -Mid Week 6

Chapter 2

Rational Numbers

8.1.1.k. recognize and use exponential, scientific, and calculator notation to represent large numbers in real-world situations

8.1.1.m. identify the opposite of a rational number

8.1.2.a. understand the meaning and effects of arithmetic operations with fractions, decimals, and integers

8.1.3.a. select and use appropriate methods and tools for computing with whole numbers, fractions, decimals, percents, and integers in problem-solving situations (e.g., mental computation, estimation, calculators, computers, paper and pencil)

8.1.3.b. develop and analyze procedures for computing with fractions, decimals, and integers

8.2.3.a. use a variety of representations to solve real-world problems (e.g., graphs, tables, equations)

8.1.spi.1,2,10

8.2.spi.1,3

8.4.spi.5

Chapter 2 Assessment

Middle of Week 6

Mid Week 6 – Mid Week 8

Chapter 3

Operations with Real Numbers and Pythagorean Theorem

8.1.1.a  recognize the place value of a given digit

8.1.1.c. determine the square root of perfect squares

8.1.1.d. use a variety of models to demonstrate the relationships within the real number system (e.g., Venn diagrams, webs)

8.1.1.g. connect whole numbers, fractions, decimals, percents and integers to locations on the number line

8.1.2. e. understand and use the inverse relationships of addition and subtraction, multiplication and division, and squaring and finding square roots to simplify computations and solve problems

8.3.1.g. develop understanding of the Pythagorean theorem.

8.4.2.i. solve real-world problems using the Pythagorean Theorem

8.1.spi.4,5

8.2.spi.7

8.4.spi.9

Chapter 3 Assessment

Middle of Week 8

Mid Week 8 –Mid Week 10

Chapter 4

Proportions, Algebra, & Geometry

8.1.1.j. understand and use ratios and proportions to represent quantitative relationships

8.1.3. h. develop, analyze, and explain methods for solving problems involving proportions (e.g., scaling, finding equivalent ratios)

8.1.3.i. calculate rates involving cost per unit to determine the best buy.

8.2.2.b. develop meaning for intercept and slope;

8.2.4.b. develop meaning for rate of change in real-world situations.

8.3.1.e. understand relationships among the angles and side lengths of similar geometric figures

8.3.3.a. describe sizes, positions, and orientations of shapes under transformations (e.g., rotations, translations, reflections, dilations);

8.3.4. use visualization, spatial reasoning, and geometric modeling to solve problems.

8.3.6. apply relationships among angles and side lengths of similar geometric figures.

8.1.spi.3,9

8.2.spi.8

8.3.spi.4,6

Chapter 4 Assessment

Middle of Week 10

Mid Week 10 –  Week  13

Chapter 5

Percent

8.1.1.h. develop meaning for percents greater than 100 and less than one;

8.1.1.e. work flexibly with fractions, decimals, and percents to solve problems;

8.1.1.f. compare and order fractions, decimals, and percents;

8.1.1.i. use appropriate mathematical language and symbols to express numerical relationships (e.g., <, >, =, ³ );

8.1.2 compare rational numbers using the appropriate symbol (<, >, =)

8.1.3.c.  develop and use strategies to estimate the results of rational number computations in real-world situations;

8.1.3.g. solve multi-step real-world problems involving whole numbers, fractions, decimals, and percents;

8.1.spi.2,8

8.2.spi.7

Chapter 5 Assessment

Week 14 – Mid Week 16

Chapter 6

Geometry

8.3.1.a. describe, classify, and understand relationships among types of two- and three-dimensional objects using their defining properties;

8.3.1.b. understand relationships among the angles (e.g., complementary, supplementary, interior, exterior, vertical, corresponding);

8.1.3.c. solve problems using angle relationships (e.g., complementary, supplementary, interior, exterior, vertical, corresponding);

8.3.1.d. determine the measure of an angle of a triangle given the measures of the other two angles;

8.1.3.f. determine congruence of line segments, angles, and polygons by direct comparison of given attributes;

8.3.3.a. describe sizes, positions, and orientations of shapes under transformations (e.g., rotations, translations, reflections, dilations);

8.3.3.b. relate symmetry and congruence to reflections about a line.

8.3.4.a. use appropriate tools and methods to draw geometric objects with specified properties, (e.g., side lengths, angle measure);

8.3.4.d. recognize and apply geometric ideas and relationships such as tessellations in areas outside the mathematics classroom (e.g., art, science, everyday life)

8.3.spi.1,3,5,8

# Geometry Teacher Resources

Note:  Combine Lessons 6.6 and 6.7

Combine Lessons 6.8 and 6.9

Chapter 6 Assessment

Chapter 7

Geometry: Measuring Area & Volume

Cover Lessons  7.1, 7.2, & 7.3 before Christmas Break

Complete Chapter 7 by Christmas Break

8.3.1.a. describe, classify, and understand relationships among types of two- and three-dimensional objects using their defining properties;

8.4.1.c. understand, select, and use units of appropriate size and type to measure angles, perimeter, areas, surface area, and volume.

8.4.2.a. use a variety of strategies to estimate length, perimeter, circumference, area, and volume;

8.4.2.c. apply formulas and/or other strategies to solve problems involving perimeter, circumference of circles, and the area of triangles, parallelograms, trapezoids, and circles;

8.4.2.d. find area of complex and irregular shapes;

8.4.2.e. apply given formulas to find volume of selected prisms and cylinders;

8.4.2.f. compare and contrast the volumes of a variety of geometric solids;

8.2.spi.7

8.3.spi.1

8.4.spi.1,3,4,6,7

Note:  Omit            Lesson 7.9

Chapter 7 Assessment

Week 19 – Week 21

Chapter 8

Probability

8.5.1.a. formulate questions, design studies, and collect real-world data for investigations using a variety of collection methods (e.g., random sampling, simulations);

8.5.3.a.  make conjectures and predictions based on data;

8.5.3.d. determine an appropriate sample to test a hypothesis;

8.5.3.e. make conjectures to formulate new questions for future studies.

8.5.4.a. develop meaning of mutually exclusive events;

8.5.4.b. connect the symbolic representation of a probability to an experiment;

8.5.4.c. use a variety of methods to compute probabilities for compound events (e.g., multiplication, organized lists, tree diagrams, area models);

8.5.4.d. distinguish between theoretical and experimental probability;

8.5.4.e. find the probability of dependent and independent events

8.1.spi.3

8.5.spi.1,5,6

Note:  Omit Lessons 8.3 and 8.4 until Year End

Chapter 8 Assessment

Week 22 –   Week  25

Chapter 9

Statistics & Matrices

8.5.1.b. select, create, and use appropriate graphical representations of real-world data (e.g., histograms, box plots, scatterplots).

8.5.2.a. find, use, and interpret measures of center and spread (e.g., mean, interquartile range);

8.5.2.b. develop meaning for frequency, distribution, and outliers;

8.5.2.c. discuss and understand the relationship between data sets and their graphical representations (e.g., bar graphs, line graphs, circle graphs, histograms, stem-and-leaf plots, box plots, scatter plots).

8.5.3.b. recognize misleading presentations of data;

8.5.spi.2,3,4,8

Chapter 9 Assessment

Week 26 – Week 29

Chapter 10

Algebra: Linear & Nonlinear Functions

8.2.2.a. formulate multi-step equations that represent relationships and real-world situations;

8.2.2.g. solve one- and two-step linear equations involving integers;

8.2.2.j. solve one-step linear inequalities;

8.2.2.l. identify the graphical representation of the solution to a one-variable linear inequality;

8.2.spi.9,10

Note:  Combine Lessons 10.6 and 10.7 if needed

Week 30 – Week 31

Chapter 11

Algebra: Linear Functions

8.2.1.a. represent, analyze, and generalize a variety of patterns with tables, graphs, words, and when possible symbolic rules;

8.2.1.b. develop understanding for arithmetic and geometric sequences;

8.2.1.c. relate and compare different forms of representation for a relationship;

8.2.1.e. compare and contrast properties of functions from tables, graphs, or equations.

8.2.2.b. develop meaning for intercept and slope;

8.2.2.d. use a variety of forms to represent linear relationships;

8.2.2.g. solve one- and two-step linear equations involving integers;

8.2.2.h. use a variety of methods to solve real-world problems involving multi-step linear equations (e.g., manipulatives, technology, pencil and paper);

8.2.2.k. identify the graph of a linear equation;

8.2.2.m. develop understanding for particular values of patterns, relationships, and functions (e.g., x- and y- intercepts, slope, maximum and minimum values).

8.2.3.a. use a variety of representations to solve real-world problems (e.g., graphs, tables, equations).

8.2.4.a. compare linear relationships to non-linear relationships;

8.2.spi.1,4,11

8.5.spi.4

Chapter 11 Assessment

Complete by Week 36

Chapter 12

Algebra: Nonlinear Functions & Polynomials

8.2.5. generate equivalent forms for simple algebraic expressions

8.2.7. apply given formulas to solve real-world problems

8.2.spi.5

Chapter 12 Assessment

*Note: Please take into consideration of T-CAP testing around the 32nd  week.

Kindergarten

Elementary Resources

Worksheets

Algebra I

Secondary Resources

Worksheets

Science Fair

Dynamic Curriculum

Math/Science Integration

Math Online