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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

Questions, comments, concerns, and requests may be emailed using the form below.

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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 B: Rational Numbers

Resources for 7.NS.1 - Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers.

Resources for 7.NS.3 - Solve real-world and mathematical problems involving the four operations with rational numbers.

Resources for 7.NS.2 - Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

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

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

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.

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 C: Expressions and Equations, Part 2

Resources for 8.EE.5 - Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

Resources for 8.EE.8 - Analyze and solve pairs of simultaneous linear equations.

Resources for 8.EE.6 - Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. (3 videos)

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. (9 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 2: Coordinates & Graphs

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 F.IF.7 - Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

Resources for A.CED.3 - Represent constraints by equations or inequalities.

Resources for F.BF.3 - Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs.

Resources for A.CED.4 - Rearrange formulas to highlight a quantity of interest.

Resources for A.REI.7 - Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.

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 N.Q.1 - Use units as a way to understand problems.

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.

Resources for A.REI.10 - Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Resources for F.IF.5 - Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

Resources for 8.G.8 - Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

Resources for S.ID.1.2.3.5.6.8.9 - Summarize, represent, and interpret data on a single count or measurement variable, summarize, represent, and interpret data on two categorical and quantitative variables, and interpret linear models.

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