Integrated Math 1
Quarter 1
Chapters 1-3
Chapters 1-3
The Mathematics Department has organized the topics of Integrated Math 1 Quarter 1 to provide the foundation for algebraic fluency.
Chapter 1 - Number Concepts and Strategies begins with a quick study of number combinations in the four operations, strategic mental computation methods, and fluency in common algebra settings.
Chapter 2 - Expressions in Equations and Inequalities introduces algebraic expressions with a focus on the meaning of symbols and vocabulary used to describe expressions. Students practice common techniques with algebraic expressions, such as distribution and combining like terms. Also, students learn that a variable represents a value and practice substitution.
Chapter 3 - Solving Equations and Inequalities covers the basics of solving equations and inequalities. Students understand, step-by-step, when to use inverse operations and why the inverse operation helps isolate a variable.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Algebra » Reasoning with Equations & Inequalities A.REI.1 🔗 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Number and Quantity » Quantities N.Q.1 🔗Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Number and Quantity » Quantities N.Q.1 🔗Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Seeing Structure in Expressions A.SSE.1b 🔗 Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
Algebra » Reasoning with Equations & Inequalities A.REI.1 🔗 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Reasoning with Equations & Inequalities A.REI.1 🔗 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Algebra » Reasoning with Equations & Inequalities A.REI.1 🔗 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Algebra » Reasoning with Equations & Inequalities A.REI.3 🔗 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Number and Quantity » Quantities N.Q.1 🔗Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.
Algebra » Reasoning with Equations & Inequalities A.REI.1 🔗 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Algebra » Reasoning with Equations & Inequalities A.REI.3 🔗 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Algebra » Seeing Structure in Expressions A.SSE.1a 🔗Interpret parts of an expression, such as terms, factors, and coefficients.
Algebra » Reasoning with Equations & Inequalities A.REI.1 🔗 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Algebra » Reasoning with Equations & Inequalities A.REI.1 🔗 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Algebra » Reasoning with Equations & Inequalities A.REI.3 🔗 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Algebra » Reasoning with Equations & Inequalities A.REI.1 🔗 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Algebra » Reasoning with Equations & Inequalities A.REI.3 🔗 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Algebra » Reasoning with Equations & Inequalities A.REI.1 🔗 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Algebra » Reasoning with Equations & Inequalities A.REI.3 🔗 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Algebra » Reasoning with Equations & Inequalities A.REI.1 🔗 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Algebra » Reasoning with Equations & Inequalities A.REI.3 🔗 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Algebra » Reasoning with Equations & Inequalities A.REI.1 🔗 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Algebra » Reasoning with Equations & Inequalities A.REI.3 🔗 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Algebra » Reasoning with Equations & Inequalities A.REI.1 🔗 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Algebra » Reasoning with Equations & Inequalities A.REI.3 🔗 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Chapter 1
Number Concepts and Strategies
· · · · ·
Lesson 1.1 Addition Strategies: Ten Multiples; Add Doubles
Lesson 1.2 Subtraction Strategies: Counting Strategy; Adding Distances
Lesson 1.3 Multiplication Strategies: Grouping Repeated Addition; The Distributive Strategy
Lesson 1.4 Division Strategies: Repeated Subtraction; The Distributive Strategy; Ten-Multiple Strategy
Lesson 1.5 Fluently add and subtract
Lesson 1.6 Fluently multiply
Lesson 1.7 Fluently divide
Lesson 1.8 Add, Subtract, Multiply, and Divide in Algebra Problems
Chapter 2
Expressions in Equations and Inequalities
· · · · ·
Lesson 2.1 Evaluate Expressions
Lesson 2.2 Describe Algebra Expressions
Lesson 2.3 Combine Like Terms
Lesson 2.4 Distribute
Lesson 2.5 Simplify Expressions
Lesson 2.6 Substitute and Evaluate
Lesson 2.7 Describe Equations and Inequalities
Lesson 2.8 Check Solutions
Lesson 2.9 Additive Inverse Operation (Subtract to Zero)
Chapter 3
Solving Equations and Inequalities
· · · · ·
Lesson 3.1 Solve Equations using Additive Inverse
Lesson 3.2 Graph Inequalities
Lesson 3.3 Solve Inequalities using Additive Inverse
Lesson 3.4 Multiplicative Inverse Operation (Divide to One)
Lesson 3.5 Solve Equations using Multiplicative Inverses
Lesson 3.6 Solve Inequalities using Multiplicative Inverse
Lesson 3.7 Solve Equations using Both Inverse Operations
Lesson 3.8 Solve Inequalities using Both Inverse Operations
Lesson 3.9 Simplify and Solve Equations
Lesson 3.10 Simplify and Solve Inequalities
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Week 8
Week 9
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