Topic 1 Algebraic Expressions and Integers 2 Weeks Summative Topic Test: SWBAT use rules to add and subtract integers, Evaluate algebraic expressions, use the order of operations, identify numerical and algebraic expressions, find number patterns, multiply and divide, graph points. 1-1 Students will be able to (SWBAT) Identify numerical and algebraic expressions, write algebraic expressions. Algebraic expression Variable 1-2 SWBAT use the order of operations /using grouping symbols. 1-3 SWBAT Evaluate algebraic expressions / solving problems by evaluating Evaluate expressions. 1-4 SWBAT give the place vale of a given digit in a decimal number and write decimals in expanded and word form. Absolute value Deductive reasoning Integers Opposites 1-5 SWBAT use models to add integers /use rules to add integers. Additive inverses Inverse property of addition 1-6 SWBAT use models to subtract integers /use rules to subtract integers. 1-7 SWBAT write rules for patterns / make predictions and test for conjectures Conjecture Counter example Inductive reasoning 1-8 SWBAT find number patterns Order of operation 1-9 SWBAT multiply integers / divide integers 1-10 SWBAT name coordinates and quadrants / graph points Coordinate plane Ordered pair Origin x-axis y-axis Quadrants x-coordinate y-coordinate 7.NS.1, 7.NS.2, 7.EE.1 Number and operations, Algebra, Measurement, Problem solving, Communication, Connections, Representation, some Geometry.
Topic 2 Solving One- Step Equations and Inequalities Summative Topic Test: SWBAT graph inequalities, write inequalities, use the distributive property with numerical expressions and algebraic expressions, and solve inequalities / equations using subtraction, addition, multiplication and division. 2-1 SWBAT identify and use properties Additive identity Associative Properties of Addition and Multiplication, Commutative Properties of Addition and Multiplication, Multiplicative identity 2-2 SWBAT use the distributive property with numerical expressions / use the distributive property with algebraic expressions Distributive Property 2-3 SWBAT identify parts of an algebraic expression / simplify expressions Coefficient Constant Simplify an algebraic expression Like terms Term 2-4 SWBAT classify types of equations/ check equations using subtraction Equation Open sentence Solution of equation 2-5 SWBAT use addition or subtraction to solve equations Inverse operations 2-6 SWBAT use multiplication or division to solve equations 2-7 SWBAT solve a problem using the Try, Test Revise strategy 2-8 SWBAT graph inequalities / write inequalities Inequality Solution of an inequality 2-9 SWBAT solve inequalities by subtracting / use addition to solve inequalities 2-10 SWBAT solve inequalities using division / solve inequalities using multiplication 7.NS.1, 7.NS.2, 7.EE.1, 7.EE.4 Number and operations, Algebra, Measurement, Problem solving, Communication, Connections, Representation, some Geometry.
Topic 3 Decimals and Equations Summative Topic Test: SWBAT use estimation for sums, differences, products and quotients. Convert metric units, and identify appropriate metric measures. Use formulas to find perimeter, use multiplication/ division/ addition/ subtraction to solve equations. 3-1 SWBAT round decimals / estimate sums and differences Compatible numbers 3-2 SWBAT estimate products / estimate quotients 3-3 SWBAT substitute into formulas / use the formula for the perimeter of a rectangle. Formula Perimeter 3-4 SWBAT use subtraction to solve equations / use addition to solve equations 3-5 SWBAT use division to solve equations / use multiplication to solve equations 3-6 SWBAT identify appropriate metric measures / convert metric units 3-7 SWBAT solve problems by acting them out Significant digits 7.NS.1, 7.NS.2, 7.EE.1, 7.EE.4 Number and operations, Algebra, Measurement, Problem solving, Communication, Connections, Representation, some Geometry.
Topic 4 Factors, Fractions, and Exponents Summative Topic Test: SWBAT find factors; use the order of operations with exponents. Find the greatest common factor/ find the greatest common divisor. Write fractions in simplest form. Evaluate fractions containing a variable. Simplify expressions with integer exponents. Write, evaluate, and calculate with scientific notation 4.1 SWBAT Use divisibility tests/ find factors. Divisible Factor Explain 4.2 SWBAT Use exponents/ Use the order of operations with exponents. Base Exponents Power 4.3 SWBAT Find prime factorization/ Find the greatest common factor. Composite number Greatest common divisor (GCD), Greatest common factor (GCF), Prime factorization Prime number 4.4 SWBAT Find Equivalent fractions/ write fractions in simplest form Divisible fractions Equivalent fractions Simplest form 4.5 SWBAT Solve a simpler problem. 4.6 SWBAT Identify and graph rational numbers/ evaluate fractions containing Rational numbers variable 4.7 SWBAT Multiply powers with the same base/ find a power of a power. 4.8 SWBAT Divide expressions containing exponents/ Simplify expressions with integer exponents. 4.9 SWBAT Write, evaluate, and calculate with scientific notation. Scientific notation Standard notation 7.NS.1, 7.NS.2, 7.EE.1 Number and operations, Algebra, Measurement, Problem solving, Communication, Connections, Representation, some Geometry
Topic 5 Operations With Fractions Summative Topic Test: SWBAT find powers of products/ quotients, use multiplication to solve equations with mixed numbers. Use the inverse property of multiplication to solve equations. Convert decimals to fractions, and fractions to decimals. 5-1 SWBAT Find the least common multiple/ compare fractions Least common denominator Least common multiple Multiple 5-2 SWBAT Write rational numbers as decimals/ write decimals as fractions. Repeating decimal Terminating decimal 5-3 SWBAT Add and subtract fractions/ Use factoring to find common Inverse property of multiplication denominators. 5-4 SWBAT Multiply and divide rational numbers. Dimensional analysis 5-5 SWBAT Identify appropriate units of measurement/ convert customary units. Multiplicative inverses Reciprocals, 5-6 SWBAT Work backward. 5-7 SWBAT Use addition or subtraction to solve equations. 5-8 SWBAT Use multiplication to solve equations/ solve equations with mixed numbers 5-9 SWBAT Find powers of products/ find powers of quotients. 7.MP.2, 7.NS.1.d, 7.NS.3, 7.EE.4 Number and operations, Algebra, Problem solving, Communication, Connections, Representation.
Topic 6 Ratios, Proportions, and Percents Summative Topic Test: SWBAT Use mathematical reasoning with multi-step rate problems by making a rate a table. Solve percent problems by using a proportion or an equation. Use markup as a real-world application of present increase, and discounts for percent decrease. Use a scale on a similar figure to find a distance. 6-1 SWBAT Find rates and unit rates/ find rates expressed as products. Rate Ratio Unit rate 6-2 SWBAT Solve proportions/ use proportions to solve problems. Cross products Proportion, 6-3 SWBAT Use similar figures and scale drawings. Indirect measurement Scale drawing Similar figure 6-4 SWBAT Write percents as fractions and decimals/ write decimals and fractions Percent as percents. 6-5 SWBAT Find part of a whole/ find a whole amount. 6-6 SWBAT Write and solve percent equations/ use equations to solve percent Commission problems. 6-7 SWBAT Find percent of increase or decrease. Percent of change, 6-8 SWBAT Find markups and discounts. Cross products Discount Markup 6-9 SWBAT Apply rational numbers/ estimate rational numbers. 6-10 SWBAT Use mathematical reasoning with multi-step rate problems/ make a table. 7.RP.1, 7.RP.2, 7.RP.3 Number and operations, Algebra, Problem solving, Reasoning and Proof, Communication, Connections, Representation
Topic 7 Solving Equations and Inequlities Summative Topic Test: SWBAT solve two-step equations and solve multi-step equations. Use the properties of equality to solve equations involving decimals. Write an equation and then solve the equation in order to solve a problem. Solve two-step inequalities. Use the properties of equality to transform a formula. Solve simple interest problems, and solve compound interest problems. 7-1 SWBAT Solve problems and using properties to solve two-step equations. 7-2 SWBAT Combine like terms/ use the distributive property. Consecutive integers 7-3 SWBAT Solve two-step equations with fractions/ decimals. 7-4 SWBAT Write an equation/ understand math problems. 7-5 SWBAT Solve two-step inequalities/ use two-step inequalities. 7-6 SWBAT Solve formulas for a given variable/ use formulas to solve problems. 7-7 SWBAT Perform Simple interest/ compound interest tasks. Balance Compound interest Interest Interest rate Principle Simple interest 7.NS.1, 7.NS.2, 7.EE.1, 7.EE.3, 7.MP.4 Number and operations, Algebra, Problem solving, Communication, Connections, Representation.
Topic 8 Linear Functions and Graphing Summative Topic Test: SWBAT find the solution of an equation with two variables in any ordered pair that makes the equation true. Identify the slope and y-intercept of an equation. Then graph each equation. Find the constant of variation for each direct variation. Find the solution to a system of linear equations. 8-1 SWBAT Identify and graphing relations and functions Domain Function Range Relation Vertical line test 8-2 SWBAT Find solutions to two-variable equations/ graph equations with twovariables. Linear equation Solution 8-3 SWBAT Find the slope of a line/using slope to graph linear equations. Slope Slope-intercept form 8-4 SWBAT Find the constant of variation/ writing a direct variation Constant of variation Direct variation 8-5 SWBAT Combine reasoning strategies 8-6 SWBAT Graph and using systems of linear equations. System of linear inequalities 8-7 SWBAT Graph linear inequalities/ graphing systems of linear inequalities Linear inequality System of linear equations 7.EE.1, 7.EE.3, 7.EE.4, 7.MP.4, Algebra, Communication, Connections, Representation, Reasoning and Proof, Problem solving.
Topic 9 Spatial Thinking Summative Topic Test: SWBAT Use a diagram to find congruent, and supplementary angles. Name figures by description; recognize intersecting lines, parallel lines and skew lines; identify adjacent and vertical angles; relate angles formed by parallel lines and a transversal; classify triangles and quadrilaterals identify corresponding parts of congruent triangles to determine whether triangles are congruent; draw a diagram to solve a problem; find circumferences; find central angles and to make circle graphs; construct a segment of an angle congruent to a given segment or angle; construct segment bisectors and angle bisectors; graph translations; describe translations; identify a line of symmetry; graph a reflection of a geometric figure; graph rotations and identify rotational symmetry. 9-1 SWBAT Plot points, lines, and planes / Intersecting, parallel, and skew lines. Segment 9-2 SWBAT Find adjacent and vertical angles / relating angles and parallel lines. Complementary Congruent angles Corresponding angles 9-3 SWBAT Classify triangles / classify quadrilaterals Adjacent angles Alternate interior angles Polygon Regular polygon Vertical angles 9-4 SWBAT Draw diagrams. 9-5 SWBAT Identify corresponding parts / congruent triangles Congruent figures 9-6 SWBAT Graph and describing translations. 9-7 SWBAT Find congruent segments and angles / constructing bisectors. Angle bisector Perpendicular bisector Perpendicular lines Parallel Segment Segment bisector Supplementary Symmetry Translation Vertical angles 9-8 SWBAT Find congruent segments and angles / constructing bisectors 9-9 SWBAT identify lines of Symmetry / graph reflections Reflection Rotation 9-10 SWBAT Graph rotations / Identify rotational symmetry. 7G.1, G.2, G.3, G.4 Geometry, Measurement, Problem solving, Reasoning and Proof, Communication, Connections, Representation
Topic 10 Area & Volume Summative Topic Test: SWBAT find areas of rectangles, parallelograms, triangles and trapezoids; find areas of circles and irregular figures that include parts of a circle; identify common space figures and space figures from nets; find surface areas of prisms, cylinders, pyramids, cones and spheres; to make a model; find volumes of prisms, cylinders, cones and pyramids and spheres; find dimensions of similar solids and find surface areas and volumes of similar solids. Performance Assessment: 10-1 SWBAT Find areas of rectangles / parallelograms Altitude Area 10-2 Find areas of triangles/ trapezoids Altitude of a triangle 10-3 SWBAT Find areas of circles/ irregular figures 10-4 SWBAT Name space figures/ constructing nets. Cone Cylinder Net Prism Pyramid Scale factor Similar solids Space figure Sphere 10-5 SWBAT Find surface areas of prisms/ cylinders Lateral area Surface area 10-6 SWBAT Find surface areas of pyramids/ cones and spheres. Slant height 10-7 SWBAT Find the volumes of prisms and cylinders. Cubic unit Volume 10-8 SWBAT Make models of 3-D shapes. 10-9 SWBAT Find volumes of cones, pyramids, and spheres. 10-10 SWBAT Find dimensions of similar solids/ finding surface area and volume. 7.G.4, G.5, G.6, SP.2 Geometry, Measurement, Problem solving, Communication, Connections, Representation.
Topic 11 Irrational Numbers and Nonlinear Functions Summative Topic Test: SWBAT find square roots of numbers; classify real numbers; use the Pythagorean Theorem; identify right triangles; find the distance between two points using the Distance Formula; find the midpoint of a segment using the Midpoint Formula; write a proportion from similar triangles; graph quadratic functions and cubic functions; Performance Assessment: SWBAT 11-1 SWBAT Find square root / Classify real numbers Irrational Number Perfect square Square root 11-2 SWBAT use the Pythagorean Theorem / identify right triangles Hypotenuse Legs 11-3 SWBAT find distance / find the midpoint Distance Midpoint 11-4 SWBAT write a proportion Monomial 11-5 SWBAT graph a quadratic function / graph a cubic function Cubic Function Quadratic function 7G.1, 7G.2, 7G.3, 7SP.2
Topic 12 Data Analysis 2 Weeks Summative Topic Test: SWBAT find the mean, median, mode and range of a set of data; choose the best measure of central tendency; display data in frequency tables and line plots; display data in histograms; make box-and-whisker plots; analyze data in box-and-whisker plots; make stem-and-leaf plots; use stem-andleaf plots to compare data sets; interpret and draw scatter plots; use scatter pots to find trends; solve problems by graphing; 12-1 SWBAT find mean, median, mode and range / choose the best measure Mean Measures of central tendency Median Mode Outlier Range 12-2 SWBAT use frequency tables and line plots / use histogram to display data 12-3 SWBAT make box-and-whisker plots and analyze them Box-and-whisker plots Frequency Table Histogram Line plot Quartiles 12-4 SWBAT make stem-and-leaf plots and use to compare data Stem-and-leaf plot 12-5 SWBAT interpret and draw scatter plots / use scatter plots to find trends Negative correlation No correlation Positive correlation Scatter Plot 12-6 SWBAT solve by graphing Tend Line 7.SP.1. 7.SP.3. 7.SP.4.