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Mr. David Kunchynski

Teacher, 7th & 8th Grade Mathematics

West Iron County Middle & High School, Room 166

701 Garfield Ave

Iron River MI 49935

906.265.5184, 4166

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Math Tools and Resources

IXL features practice problems for just about any math topic. It is also available as an app: iOS, Android coming soon.

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Our current unit is...

Unit C: Expressions and Equations

Resources for 7.EE.1 - Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

Resources for 7.EE.3 - Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form, using tools strategically.

Resources for 7.EE.2 - Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.

Resources for 7.EE.4 - Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. (3 videos)

Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. (6 videos)

Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. (9 videos)

Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. (11 videos)

Our current unit is...

Unit II: Proportionality and Linear Relationships

Resources for 7RP.1 - Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

Resources for 7.RP.3 - Use proportional relationships to solve multistep ratio and percent problems.

Resources for 7.PR.2 - Recognize and represent proportional relationships between quantities.

Resources for 7.G.1 - Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

Resources for 8.EE.7 - Solve linear equations in one variable.

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. (4 videos)

Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. (8 videos)

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. (3 videos)

Represent proportional relationships by equations. (3 videos)

Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate. (1 video)

Use proportional relationships to solve multistep ratio and percent problems. (25 videos)

Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. (3 videos)

Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. (6 videos)

Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. (8 videos)

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. (3 videos)

Represent proportional relationships by equations. (3 videos)

Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate. (1 video)

Use proportional relationships to solve multistep ratio and percent problems. (25 videos)

Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. (3 videos)

Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. (6 videos)

Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. (9 videos)

Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. (11 videos)

Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers). (16 videos)

Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. (17 videos)

Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. (3 videos)

Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. (6 videos)

Solve real-world and mathematical problems leading to two linear equations in two variables. (4 videos)

Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. (11 videos)

Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers). (16 videos)

Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. (17 videos)

Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. (3 videos)

Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. (6 videos)

Solve real-world and mathematical problems leading to two linear equations in two variables. (4 videos)

Our current unit is...

Unit D: Functions

Resources for 8.F.1 - Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

Resources for 8.F.3 - Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.

Resources for 8.F.2 - Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

Resources for 8.F.4 - Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

Resources for 8.F.5 - Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. (5 videos)

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). (1 video)

Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. (3 videos)

Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values. (6 videos)

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally. (1 video)

Our current unit is...

Unit 4: Lines & Systems

Click the cover to view an interactive table of contents for our textbook...

*Note: This link will not work on devices that don't support Flash. **Click here** for an alternate version that should work on all devices.*

Resources for A.REI.3 - Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Resources for F.IF.6 - Calculate and interpret the average rate of change of a function over a specified interval. Estimate the rate of change from a graph.

Resources for A.REI.11 - Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations.

Resources for A.CED.1 - Create equations and inequalities in one variable and use them to solve problems.

Resources for A.CED.3 - Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.

Resources for A.REI.6 - Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

Resources for F.LE.5 - Interpret the parameters in a linear or exponential function in terms of a context.

Resources for A.REI.5 - Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

Resources for A.REI.12 - Graph the solutions to a linear inequality in two variables as a half-plane, and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

Resources for N.Q.3 - Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

Resources for S.ID.7 - Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.

Resources for S.ID.6 - Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

Resources for G.GPE.5 - rove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems.

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