Revised 10/29/18

Cleveland Municipal School District

Department of Mathematics Education

Integrated 1 Math 36 Week course

Organizer /

Standard/Benchmark

/ Topics / Report Card Outcome / Textbook Correlation / Time / Possible Projects/
Activities / ELA Connection
  • Use Patterns, Relations and Functions: Use Patterns, relations and functions to model, represent and analyze problem situations that involve variable quantities
  • Data Collection: Pose questions and collect, organize, and represent data.
/
Patterns, Functions, and Algebra
  • Generalize and explain patterns and sequences in order to find the next term
Data Analysis and Probability
  • Create, interpret and use graphical displays and statistical measures to describe data.
/
  • Numerical Sequences
  • Using Variables
  • Problem Solving Using Guess and Check
  • Graphing on a Coordinate Plane
  • Interpreting Linear Equations and Graphs
  • Interpret scatter plots and finding Trend Lines.
/
  • 1, 10
  • 6
  • 5
  • 9
  • 9
  • 9
/ AWSM Section 1-2A,
1-2B, 2-1A, 2-1B,
2-1C, 2-2A, 2-2B {Include numerical sequences} / Weeks 1-3
(15 days) / AWSM Explore Activities 1-2A, 2-1A,
2-1C or Technology labs 1-2A, 2-1C
TI-83+ CBR activities / Incorporate textbook suggested writing projects
  • Meaning of Operations: Understand the meaning of operations and how they relate to one another
  • Use Patterns, Relations and Functions: Use patterns, relations and functions to model, represent and analyze problem situations that involve variable quantities
/ Number, Number Sense, and Operations
  • Apply properties of operations and the real number system
  • Estimate, compute and solve problems involving real numbers
Patterns, Functions and Algebra
  • Use algebraic representations such as tables, graphs, expressions, functions and inequalities, to model and solve problem situations.
/
  • Real Number System and simplifying expressions.
  • Operations containing Real Numbers
  • Order of Operations
  • Number Properties
  • Simplifying basic polynomial expressions
/
  • 2
  • 2
  • 2
  • 1
  • 1,2
/ AWSM Section 1-1B,
1-1C, 2-3A, 2-3B, 2-3C
{Include absolute value} / Weeks 4-5 (10 days) / AWSM Explore 1-1B, 2-3A, 2-3B or Technology labs 1-1B, 1-1C
Introduce matrices to review integer operations.
Algebra Tiles / Incorporate textbook suggested writing projects
  • Use Algebraic Representations: Use algebraic representations to analyze, model, and solve problems;
/
Patterns, Functions, and Algebra
  • Solve linear equations
/
  • Solving one-step equations
  • Solving two-step equations
  • Solving multi-step equations
  • Solving literal equations
/
  • 7,2
  • 7,2
  • 7,2
  • 7,2
/ AWSM Section 4-1A,
4-1B, 4-2C, 4-2D, 4-3A / Week 6-7
(10 days) / AWSM Explore 4-1A, 4-1B, 4-2C, 4-2D,
4-3A or Technology labs 4-1B, 4-2D, 4-3A
Algebra Tiles / Incorporate textbook suggested writing activities

REVIEW WEEKS ONE – EIGHT (1-8) FOR QUARTERLY ASSESSMENT

  • Meaning of Operations: Understand the meaning of operations and how they relate to one another
  • Data Collection: Posse questions and collect, organize, and represent data
  • Statistical Methods: Use statistical methods to interpret and analyze data to answer questions
/ Number, Number Sense, and Operations
  • Estimate, compute and solve problems involving real numbers, including ratio, proportion and percent, and explain solutions.
Data Analysis and Probability
  • Create, interpret and use graphical displays and statistical measures to describe data (e.g., box-and-whisker plots, histograms, scatter plots, measures of center and variability).
  • Compare the characteristics of the mean, median and mode for a given set of data, and explain which measure of center best represents the data.
/
  • Use proportions to solve problems
  • Determine equivalent forms of real numbers (percents, decimals, and fractions)
  • Perform simple probability
  • Measures of central tendency
  • Represent, interpret, and analyze: line, bar, circle, scatter, box-whisker, histograms, and stem-leaf graphs
/
  • 1, 2
  • 1, 2
  • 10
  • 1, 2, 5,9
  • 9
/ AWSM Reference Center: Pg 746-750, Section 1-1A, 1-3A, 1-3B, 7-4A {Include box-whisker, histogram, stem-leaf} / Weeks 9-11 (15 days) / AWSM Explore 1-1A, 1-3A, 1-3B, 7-4A or Technology Lab 7-4A if Cabri Jr. is available.
Ti-83+ do create box-whisker, histograms, line, bar and scatter plots / Incorporate textbook suggested writing activities
  • Use Algebraic Representations: Use algebraic representations to analyze, model, and solve problems;
  • Analyze Change: Use tables, graphs, or equations to analyze change
  • Characteristics and Properties: Identify, classify, compare and analyze characteristics, properties, and relationship
/
Patterns, Functions, and Algebra
  • Solve and graph linear equations
  • Describe and interpret rates of change from graphical and numerical data.
  • Analyze and compare functions and their graphs using attributes such as rates of change, intercepts and zeros.
  • Use algebraic representations such as tables, graphs, expressions, and functions, to model and solve problem situations.
  • Use coordinate geometry to represent and examine the properties of geometric figures
/
  • Determine if a relation is a function
  • Identifying the domain and range of a function
  • Representations of functions
  • Calculating Slope
  • Define & use slope-intercept form of a linear equation and point-slope form
  • Identify, write, and compare equations of lines that are parallel and perpendicular (include and show geometric application of quadrilaterals)
/
  • 7, 2
  • 7, 2
  • 7, 2
  • 7, 2
  • 7, 2
  • 7, 2, 6
/ AWSM Section 3-1A,
3-1B, 3-1C, 3-2A, 3-2B,
5-1A, 5-1B, 5-1C, 5-2A, 5-2B, 6-1A / Weeks 12-14 (15 days) / AWSM Explore 3-1A, 3-1B, 3-1C, 3-2A, 3-2B, 5-1A, 5-1B, 5-1C, 5-2A, 5-2B, 6-1A or Technology labs 3-1A, 3-1B, 3-1C, 5-1A, 5-1B, 5-1C, 5-2A, 5-2B, 6-1A
Geo-boards / Incorporate textbook suggested writing activities
  • Number and Number Systems: Develop number sense and understand number and number system
  • Use Algebraic Representations: Use algebraic representations to analyze, model, and solve problems
/ Number, Number Sense, and Operations
  • Compare, order, and determine equivalent forms of real numbers
Patterns, Functions, and Algebra
  • Solve and graph inequalities.
/
  • Solve & graph one-step inequalities on a number line
  • Solve & graph multi-step inequalities on a number line
  • Solve & graph compound inequalities on a number line
  • Solve & graph absolute-value equations & inequalities on a number line
/
  • 7,2
  • 7,2
  • 7,2
  • 7,2
/ AWSM Section 4-3B,
7-1A, 7-1C{Include simple compound inequalities} / Weeks 15-17
(15 days) / AWSM Explore 4-3B, 7-1A / Incorporate textbook suggested writing activities
MID TERM EXAMINATION. REVIEW WEEKS ONE – SEVENTEEN (1-17)
  • Use Algebraic Representations: Use algebraic representations to analyze, model, and solve problems
/
Patterns, Functions, and Algebra
  • Solve and graph linear equations and inequalities.
  • Solve system of linear equations involving two variables graphically and symbolically
/
  • Solving systems by graphing, substation/elimination method
  • Identify consistent and inconsistent systems
  • Graph system of inequalities
  • Use system of equations to solve word problems
/
  • 7,5,2
  • 7,5,2
  • 7,5,2
  • 7,5,2
/ AWSM Section 6-1B,
6-2A, 6-2B, 6-3A, 6-3B / Week 19-21 (15 days) / AWSM Explore 6-1B, 6-2A, 6-2B, 6-3A,
6-3B Technology labs 6-1B, 6-2A, 6-2B, 6-3A, 6-3B
TI-83+ Inequality APP / Incorporate textbook suggested writing activities
  • Meaning of Operations: Understand the meaning of operations and how they relate to one another
/ Number, Number Sense, and Operations
  • Use scientific notation to express large numbers and numbers less than one.
  • Estimate, compute and solve problems involving scientific notation and numbers with integer exponents.
/
  • Law of exponents: multiplying, dividing, and powers
  • Understanding and simplify negative and zero exponents
  • Understand and perform scientific notation
/
  • 2,1
  • 2, 1
  • 2,1
/ AWSM Section 8-1A,
8-1B, 8-1C / Weeks 22-23 (7 days) / AWSM Explore 8-1B, 8-1C or Technology labs 8-1A, 8-1B
Algebra Tiles 8-1A / Incorporate textbook suggested writing activities
  • Meaning of Operations: Understand the meaning of operations and how they relate to one another
  • Use Algebraic Representations: Use algebraic representations to analyze, model, and solve problems
/ Number, Number Sense, and Operations
  • Apply properties of operations and the real number system
Patterns, Functions, and Algebra
  • Solve quadratic equations with real roots by graphing, formula and factoring
/
  • Adding/Subtracting Polynomials
  • Multiplying Polynomials
  • Problems Solving with Polynomial functions
  • Factoring Polynomials
/
  • 8, 7, 2, 5
  • 8, 7, 2, 5
  • 8, 7, 2, 5
  • 8, 7, 2, 5
/ AWSM Section 8-2A,
8-2B, 8-2C, 8-2D / Weeks 23-25 (13 days) / AWSM Explore 8-2A or Technology labs
8-2A, 8-2C
Algebra Tiles 8-2B,
8-2C / Incorporate textbook suggested writing activities
  • Use Algebraic Representations: Use algebraic representations to analyze, model, and solve problems
  • Meaning of Operations: Understand the meaning of operations and how they relate to one another
/
Patterns, Functions, and Algebra
  • Solve quadratic equations with real roots by graphing, formula and factoring
Number, Number Sense, and Operations
  • Apply properties of operations and the real number system
/
  • Graphing parabolas (include the effects of by adding the constant to the parent function and the affect of coefficient “a” )
  • Explore motion problems with quadratics
  • Solving quadratics equations by; using square roots, completing the square, quadratic formula, and factoring
  • Graphing quadratic inequalities**
/
  • 8, 2, 5
  • 8, 2, 5
  • 8, 2, 5
  • 8, 2, 5
/ AWSM Section 9-1A, 9-1B, 9-2A,, 9-2B, 9-3A, 9-3B
{Honors include graphing quadratic inequalities} / Weeks 26-28 (10 days) / AWSM Explore 9-1B, 9-2A, 9-3A, 9-3B or Technology labs 9-1A, 9-1B, 9-2A, 9-2B,
9-3B
TI-83+ Transformation and Inequality APPS / Incorporate textbook suggested writing activities

REVIEW WEEKS NINETEEN- TWENTY-TWO (19-28) FOR QUARTERLY ASSESSMENT

  • Probability: Understand probability and develop and evaluate inferences, predictions, and arguments that are based on data
/
Data Analysis and Probability
  • Design an experiment to test a theoretical probability, and record and explain results.
  • Compute probabilities of compound events, independent events, and simple dependent events.
  • Make predictions based on theoretical probabilities and experimental results.
/
  • Describe a sample space
  • Find Theoretical Probability
  • Union of sets
  • Use tree diagrams
  • Counting Principle
  • Find the probability of Independent Event
  • Perform an Experimental Simulation
/
  • 10, 5, 2
  • 10, 5, 2
  • 10, 5, 2
  • 10, 5, 2
  • 10, 5, 2
  • 10, 5, 2
  • 10, 5, 2
/ AWSM Section 1-3A,
1-3B {Include union of sets, Independent Events and Experimental Simulation} / Week 30-31 (7 days) / AWSM Explore 1-3A, 1-3B
Ti-83+ Probability APP / Incorporate textbook suggested writing activities
  • Meaning of Operations: Understand the meaning of operations and how they relate to one another
  • Use Algebraic Representations: Use algebraic representations to analyze, model, and solve problems
/ Number, Number Sense, and Operations
  • Apply properties of operations and the real number system
Patterns, Functions, and Algebra
  • Model and solve problem situations involving direct and inverse variation
/
  • Define and use inverse variation
  • Define a rational expression and graph simple rational functions
  • Simplifying rational expressions
  • Operations with rational expressions**
  • Solving rational equations**
/
  • 2, 6, 5
  • 2,6, 5
  • 2,6,5
  • 2, 6, 5
  • 2, 6, 5
/ AWSM Section 10-1A, {Include graphing simple rational functions}
Honors: Section 10-1B and include operations with rational expressions} / Weeks 31-32 (8 days) / AWSM Explore
10-1A, 10-1B or Technology labs 10-1A, 10-1B / Incorporate textbook suggested writing activities
  • Meaning of Operations: Understand the meaning of operations and how they relate to one another
  • Characteristics and Properties: Identify, classify, compare and analyze characteristics, properties, and relationships
  • Spatial Relationships: Use spatial reasoning and geometric models to solve problems
/ Number, Number Sense, and Operations
  • Apply properties of operations and the real number system
Geometry and Spatial Sense
  • Use coordinate geometry to represent and examine the properties of geometric figures
  • Use right triangle trigonometric relationships to determine lengths and angle measures**
/
  • Estimate and Simplify Square Roots
  • Perform Operations with radicals
  • Solving equations containing radicals
  • Using the Pythagorean Theorem
  • Using the Distance Formula
  • Use the converse of the Pythagorean Theorem
  • Using the Midpoint Formula
  • Define and Use Trigonometric Ratios**
/
  • 2,3,4, 5, 6
  • 2,3,4, 5, 6
  • 2,3,4, 5, 6
  • 2,3,4, 5, 6
  • 2,3,4, 5, 6
  • 2,3,4, 5, 6
  • 2,3,4, 5, 6
  • 2,3,4, 5, 6
/ AWSM Section 7-2A,
7-2B, 7-3A, 7-3B, 7-3C
Honors: Section 7-4B, 7-4C / Weeks 33-35 (15 days) / AWSM Explore 7-2A, 7-2B, 7-3A, 7-3B,
7-3C 7-4B, 7-4C or Technology labs 7-2B, 7-3B, 7-4C / Incorporate textbook suggested writing activities

REVIEW FOR FINAL EXAMINATION

**NOTE: Items in red are for honors program.

**AWSM denotes the districts adopted basal textbook

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