#### Pythagorean Theorem Math Stations

These Pythagorean Theorem math stations are not your average Pythagorean Theorem worksheets. Take your students to a new level of understanding with these stations. Students will learn two proofs of the Pythagorean Theorem. Students will problem solve their way through two Pythagorean Theorem puzzles. One puzzle also combines their knowledge of area of triangles. Students will apply the Pythagorean Theorem to real-life applications. Students will find distances on the coordinate plane as well as practice their use of radicals on Pythagorean Theorem problems. Students will develop a deep understanding of this content after completing these math stations. This product includes the following math stations. • Pythagorean Theorem Proof #1 • Pythagorean Theorem Proof #2 • Pythagorean Puzzle #1 • Pythagorean Puzzle #2 • Pythagorean Theorem Application • Distances with Pythagorean Theorem • Pythagorean Theorem with Radicals Each station will take about 15 – 20 minutes to complete. Stations can easily be combined, or used to differentiate your teaching. Pythagorean Theorem Proof #1 guides them through a proof, and Pythagorean Theorem Proof #2 is more open-ended, this is a great way to differentiate your teaching. A recording sheet and answer sheet are included. These would also be great to use as homework, group work or assessments

#### Equations with Variables on Both Sides Math Stations

These math stations delve into equations with variables on both sides. Students will justify, solve, create, analyze, and justify the reasoning. The; the use of the distributive property is included as well as collecting like terms. Students will develop a deep understanding of this content after completing these math stations. The following stations are included: • Number of Solutions: Given an equation with variables on both sides, students will identify how many solutions the equation has. They will justify their reasoning. • Writing Equations: Given a story problem, students will write and solve an equation to solve the problem. • Creating Equations: Students will create equations with variables on both sides with one, infinite and no solutions. They will justify their reasoning. • Solving Equations: Students will solve equations with variables on both sides. Each station will take about 15 – 20 minutes to complete. These would also be great to use as homework, group work or assessments. A recording sheet and answer sheet are included.

#### Proportional Relationships Guided Notes 7th Grade Math

These proportional relationships guided notes focus on discovering proportional relationships through equivalent fractions, tables, graphs, equations and verbal descriptions. Special emphasis is placed on finding multiplicative relationships as this connects to the unit rate and eventually slope. These guided notes work great as an introduction, reinforcement or review of the material. Includes the Following • 1 page of teaching suggestions • 1 title page • 11 pages of guided notes • 2 pages of practice (18 problems) • 1 lined page for extra notes • Complete answer key

#### Unit Rates with Complex Fractions Guided Notes

These unit rates with complex fractions guided notes focus on solving using the properties of operations. Students should already be comfortable with the basics of unit rates. Students will define, calculate, explain, and practice finding unit rates with complex fractions. These guided notes work great as an introduction, reinforcement or review of the material. Includes the Following • 1 page of teaching suggestions • 4 pages of guided notes • 1 page of practice (9 problems) • 1 lined page for extra notes • Complete answer key

#### Inequalities with Rational Numbers Guided Notes

These inequalities with rational numbers guided notes focus on solving, graphing, and making sense of inequalities with rational numbers. Students will define, calculate, explain, and practice finding solving and graphing inequalities. These guided notes work great as an introduction, reinforcement or review of the material. Includes the Following • 1 title page • 5 pages of guided notes • 1 pages of practice (9 problems) • 1 lined page for extra notes • Complete answer key

#### 7th Grade Math Stations Bundle

These middle school math stations are just what you need to help your students develop a deep understanding of mathematics. There are at least four stations in each set. The focus of these stations is for students to discover and apply mathematical principles. The students will delve into the mathematics and gain a strong foundation. These stations are set to take one to two class periods. These are great for group work but also work well as homework, assessments or individual work. Included in all stations is a recording sheet and answer sheet. What makes these different than other math stations available? Make Sense of Math stations are created with the intent that students will conceptually understand the mathematical concepts. These math stations are not simply "busy work" worksheets. Students will write, model, justify, create, explain and practice the mathematics.

#### The Real Number System: Rational and Irrational Numbers Math Stations

Delve into the real number system and rational versus irrational numbers with these math stations. Students will learn about the different number systems: natural, whole, integers, rational and irrational. They will analyze the similarities and differences between the systems and apply their knowledge using a Venn diagram. Critical thinking questions help students to have a thorough understanding of the different number systems. The following math stations are included: • Number System Vocabulary: Students will define the different number systems: natural, whole, integers, rational, and irrational • Venn Diagram: Students will analyze the different number systems and place numbers on a Venn diagram. Students will also critically think about the number systems. • Number System Analysis: Given critical thinking questions students have to think deeply to determine if the statement is true or not. They must give a counter-example if the statement is false. • Writing About Numbers: Students write about their understanding of rational and irrational and numbers and how they know how to classify numbers. This product includes four math stations. Each station will take about 15 – 20 minutes to complete. These stations should be completed in order. A recording sheet and answer sheet is also included.

#### Systems of Equations Math Stations

These systems of equations stations will help your students delve into the mathematics of systems. They will solve systems of equations using elimination, substitution and graphically. They will solve word problems and write systems of equations. The will also show their understanding through writing. This product includes the following stations: • Solving with Elimination • Solving with Substitution • Solving Graphically • How many solutions? – Students are given systems of equations and they must decide how many solutions the system has. • Word Problems with Systems – Students are given word problems, and they must write a system of equations for the word problem, and solve the system in a method of their choosing. • Understanding Solutions – Students are given a coordinate point and are asked to analyze if it is a solution to a system of equations. Students will write about infinite, zero and one solutions systems. Each station will take about 15 – 20 minutes to complete. These would also be great to use as homework, group work or assessments. A recording sheet and answer sheet are included.

#### Exponent Rules and Exponent Properties Math Stations

These integers math stations are perfect to engage students in discovering the properties of exponents. Students will develop a deep understanding of exponent properties after completing these math stations. There are four math stations. Three stations are created with the intent that students will discover the “rules” for exponent properties through expanding expressions. The following math stations are included: • Multiplying Powers: Students analyze models of multiplying powers. The models expand the powers then cancel and combine. Students discover the exponent rule of multiplying powers. • Dividing Powers: Students analyze models of dividing powers. The models expand the powers then cancel and combine. Students discover the exponent power of dividing powers. • Power to a Power: Students analyze models of powers to a power. The models expand the power, then cancels and combines. Students discover the exponent rule of power to a power. • Exponent Patterns: Students analyze tables of exponents patterns. Students make sense of the patterns and discover what a number raised to zero equals and a number raised to a negative number represents. These would also be great to use as homework, group work or assessments. A recording sheet and answer sheet are included. These math centers are aligned with common core 8.EE.A.1

#### Volume of Cones and Spheres Math Stations

These volume of cones and spheres math stations help students to discover, apply and practice volumes. Students will discover the volume formulas for cones and spheres through a discovery task. Students will apply these volume formulas to applied tasks. Students will then practice the formula for volumes of cones and spheres. Also included, is a volume challenge task to extend their thinking. Students will develop a deep understanding of this content after completing these math stations. This product includes seven math stations. Each station will take about 15 – 20 minutes to complete. I would not do these all in one day, as they require a lot of problem-solving and higher-order thinking skills. Students will need time to process their thinking and reason through the problems. Students will be most successful if they are given enough time to complete these stations. These would also be great to use as homework, group work or assessments. A recording sheet and answer sheet is also included. Required Materials To accurately complete these math stations students will need access to a hollow cylinder, a cone and a hemisphere that have the same radius. The cone and the cylinder need to be the same height as well. These can be purchased for a reasonable price. If you do not wish to purchase these items, they can also be made. You can use a can as a cylinder and create the cone and hemisphere out of aluminum foil using the cylinder as your guide.

#### Transversals and Parallel Lines Interior and Exterior Angles Math Stations

These math stations delve analyzing interior angles and exterior angles of triangles. Students will discover connections between these angles within a triangles. Students will also delve into transversals and parallel lines. Through a discovery activity students will notice connections about the angles formed between parallel lines and a transversal. Use of a protractor is required with these math stations The following stations are included: • Angle Vocabulary: Students will learn the difference between interior and exterior angles of a triangles. Students will also measure these angles with a protractor • Exterior Angles: Students will measure interior angles and exterior angles of triangles. They will discover the connection between an exterior angle and the two non-adjacent interior angles. • Interior Angles: Students will measure the interior angles of triangles. They will discover the connection between the sum of the interior angles of a triangle. • Parallel Lines and Transversals: Students will define the vocabulary associated with parallel lines cut by a transversal. They will measure the angles and discover the connection of the angles formed. Each station will take about 15 – 20 minutes to complete. These would also be great to use as homework, group work or assessments. A recording sheet and answer sheet are included.

#### 8th Grade Math Stations Bundle

These middle school math stations are just what you need to help your students develop a deep understanding of mathematics. There are at least four stations in each set. The focus of these stations is for students to discover and apply mathematical principles. The students will delve into the mathematics and gain a strong foundation. These stations are set to take one to two class periods. These are great for group work but also work well as homework, assessments or individual work. Included in all stations is a recording sheet and answer sheet. What makes these different than other math stations available? Make Sense of Math stations are created with the intent that students will conceptually understand the mathematical concepts. These math stations are not simply "busy work" worksheets. Students will write, model, justify, create, explain and practice the mathematics.

#### Angles and Equations Math Stations

These angles and equations math stations are the perfect connection between algebra and geometry. Students focus on using knowledge of supplementary, complementary, and vertical angles to construct angles, solve word problems, problem-solve, and write algebraic equations. These are perfect to reinforce, review, teach, and differentiate. Includes the following math stations: • Angle Analysis: Students use their knowledge of supplementary, complementary, and vertical angles to find the value of missing angles. • Writing Equations: Students write and solve algebraic equations using facts about supplementary, complementary and vertical angles. • Angles and Equations: Students write equations to solve word problems with their knowledge of angles. • Angle Construction: Students construct angles given certain conditions. These could also be assigned for homework, or used as group work or as an assessment. These math centers are aligned with common core 7.G.B.5. These are perfect for math 7, but could also be an extension for math 6 or review for math 8. Recording sheet and answer sheet are included.

#### Area Surface Area and Volume Math Stations

These area and volume math stations delve into area of irregular shapes, 3d surface area and volume. Students will analyze, create, calculate, explain, and apply the math to real-world situations. The Following Stations are Included: • Polygonal Area: Students will use their higher-order thinking skills to calculate the area of different shaped polygons. • 3d Surface Area and Volume: Students will calculate the surface area and volume of 3-dimensional figures. bull; Applied Surface Area and Volume: Students will solve real-world problems involving surface area and volume. • Dog House Design: Students will design a doghouse that must meet certain surface and volume conditions. Each station should take students 15-20 minutes to complete. This would be a good two-day activity. These math centers are aligned with common core 7.G.B.6 These would also be great to use as homework or assessments. These are perfect for math 7, but could also be an extension for math 6 or review for math 8. Recording sheet and answer sheet is included.

#### Circle Area Math Stations

Your students will discover the formula for the area of the circle and apply this knowledge to various higher-order thinking problems. These stations are perfect to get your students delving into the area of circles. The Following Stations are Included: • Discover Circle Area: Students will cut and paste a circle into a parallelogram, and analyze the area of the parallelogram to discover the formula for the area of a circle. • Calculate Circle Area: Students will use their knowledge of the circle area to calculate various circles, both in exact and approximate forms. • Area Analysis: Students will discover how the area of a circle changes when you scale the radius of a circle. • Geometric Circle Area: Students will use their knowledge of circle area to calculate areas of shaded regions. These would also be great to use as homework or assessments. Each station takes approximately 20-30 minutes. These math centers are aligned with common core 7.G.B.4

#### Probability Math Stations

Students will dig into probability as they analyze probability models and estimate frequencies of given events. Students will also analyze compound events. Students will develop a deep understanding of probability with these math stations. The following math stations are included: • Probability Numbers: focus is on understanding probability as a number represented between 0 and 1 • Estimating Frequencies: Given the probability of certain events, students will estimate frequencies. • Calculating Probability: Given a probability model, students will calculate the probability of certain events. • Compound Events: Students will display the sample space of an event with a diagram, and calculate compound probabilities of certain events. Each station will take about 20 minutes to complete These would also be great to use as homework, group work or assessments. These math centers are aligned with common core 7.SP.C.5 7.SP.C.6 7.SP.C.7.A 7.SP.C.8 7.SP.C.8.A 7.SP.C.8.B

#### Proportions Math Stations

These proportions math stations delve into proportions in graphs, tables, equations, and scenarios. Students will examine, create, analyze, solve, and justify proportions. The following math stations are included: • Constant of Proportionality: Students will identify the constant of proportionality given a graph, table, equation or scenario. • Fractional Rates: Students will calculate the unit rate of fractional relationships. • Proportional Equations: Students will write the equation of a given proportional relationship. • Create Proportions: Students will create examples and non-examples of proportional graphs, equations, tables, and equations. Each station should take between 15-20 minutes. These would also be great to use as homework, group work or assessments. These math stations are aligned with common core 7.RP.A.1 7.RP.A.2 7.RP.A.2.A 7.RP.A.2.B 7.RP.A.2.C These are perfect for math 7, but could also be an extension for math 6 or review for math 8. Recording sheet and answer sheet is included.

#### Factoring and Multiplying Polynomials Math Stations

These factoring and multiplying polynomials math stations delve into modeling and making sense of factoring. Students will model multiplying and factoring polynomials with algebra tiles. They will then use this information to multiply and factor without models. The following math stations are included: • Modeling Areas of Polynomials: Given a polynomial (area of a rectangle) students will model the polynomials with algebra tiles to determine the factors (side lengths of the rectangle). 4 trinomials are given with a leading coefficient of one, and 3 polynomials with more than three terms are given as a challenge. • Modeling Side Lengths of Polynomials: Given polynomials factors (side lengths of a rectangle) students will model the polynomials with algebra tiles to determine the product (area of the rectangle). 4 problems include finding the product of two binomials. 3 problems with multiplying a binomial by a trinomials or multiplying two different variables together are included as a challenge. • Multiplying Polynomials: Students will multiply polynomials together to determine the product. 4 problems include finding the product of two binomials. 3 problems with multiplying a binomial by a trinomials or multiplying two different variables together are included as a challenge. • Factoring Polynomials: Students will factor polynomials. 4 trinomials are given with a leading coefficient of one, and 3 polynomials with more than three terms are given as a challenge. I suggest having students complete the modeling stations before the non-modeling stations as this will help students to make sense of the algebra behind factoring and multiplying polynomials. Each station should take between 15-20 minutes. These would also be great to use as homework, group work or assessments.

#### Congruence and Similarity Math Stations

These congruence and similarity math stations are perfect to help your students make sense of congruent shapes, similar shapes, translations, rotations, reflections, dilations and coordinate rules. This product includes the following math stations. • Congruent vs. Similar: Given two shapes, students will determine if the shapes are congruent, similar, or neither and justify their reasoning. • Figures and Coordinate Rules: Given two shapes, students will describe the effect of the transformation using coordinates. • Analyzing Coordinate Rules: Given coordinate rules, students will explain in writing the transformation. • Drawing Transformations: Given a figure, students will reflect, rotate, translate, and dilate the figure and write the coordinate rule for the transformation. Each station will take about 15 – 20 minutes to complete. These would also be great to use as homework, group work or assessments. A recording sheet and answer sheet are included.

#### Graphing Linear Equations Math Stations

These graphing linear equations stations will help your students delve into the mathematics of graphing lines. Students will graph linear equations, write equations from points, write equations from graphs, and analyze the rate of change with real-world graphs. This product includes the following stations: • Slope-Intercept Form: Students graph lines given the equation in slope-intercept form. • Write Equations from Given Points: Students are given a pair of coordinate points and will write the equation for the line in slope-intercept form that contains these two points. • Writing Equations from Graphs: Students are given points on a graph and will write the equation of the line that passes through the pair of points. • Rate of Change: Students are given graphs of real-world situations and are asked to analyze the rate of change and make sense of the graphs. • Slope Analysis: In this coloring activity students will analyze whether a slope is undefined, zero, positive or negative given an equation, graph, or coordinate points. Each station will take about 15 – 20 minutes to complete. These would also be great to use as homework, group work or assessments. A recording sheet and answer sheet are included.