In Grade 7 Advanced Math, instructional time focuses on these areas:
developing understanding of and applying proportional relationships;
developing understanding of operations with rational numbers and working with expressions and linear equations;
drawing inferences about populations based on samples; and
using the concepts of congruence and similarity to understand how figures move on the coordinate plane.
Quarter 1
I can apply and extend previous understanding of addition and subtraction to add and subtract rational numbers. (7.NS.1)
I can apply and extend previous understanding of multiplication and division and of fractions to multiply and divide rational numbers. (7.NS.2)
I can solve real-world problems that involve the four operations with rational numbers. (This includes all rational numbers, both positive and negative.) (7.NS.3)
I can add, subtract, factor, and expand linear expressions with rational coefficients by applying the properties of operations. (7.EE.1)
I can use variables to represent quantities in a real-world or mathematical problem, and construct simple equations to solve problems by reasoning about the quantities. (7.EE.4a)
I can apply the properties of integer exponents to generate equivalent numerical expressions. (8.EE.1)
I can calculate square roots of perfect squares up to 225 and cube roots of perfect cubes up to 125. (8.EE.2)
I can determine if the square root of a number (up to 225) is rational or irrational. (8.EE.2)
Quarter 2
I can use variables to represent quantities in a real-world or mathematical problem, and construct simple inequalities to solve problems by reasoning about the quantities. (7.EE.4b)
I can determine if a linear equation has one solution, no solution, or infinitely many solutions. (8.EE.7)
I can solve linear equations with rational number coefficients, including equations whose solutions require expanding expression using the distributive property and combining like terms. (8.EE.7)
I can determine that rewriting an expression in different forms in real-world and mathematical problems can reveal and explain how the quantities are related. (7.EE.2)
I can use proportional relationships to solve multistep ratio and percent problems. (7.RP.3)
I can apply the formulas for the area and circumference of a circle to solve problems. (7.G.4)
Quarter 3
I can determine when two quantities are proportional and represent them in various ways (tables, graphs, equations, diagrams, and verbal descriptions). (7.RP.2)
I can 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. (7.G.1)
I can use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure. (7.G.5)
I can graph proportional relationships, interpreting the unit rate as the slope of the graph. (8.EE.5)
I can explain why the slope is the same between any two points on a non-vertical line in the coordinate plane by using similar triangles and the slope formula. (8.EE.6)
I can identify information about slope and y-intercept to graph equations in the form y=mx+b, where m is the slope and b is the y-intercept. (8.EE.6)
I can identify the slope and y-intercept of a line and use that information to write the equation of a line. (8.EE.6)
I can construct and interpret box-plots, find the interquartile range, and determine if a data point is an outlier. (7.SP.1)
I can use measures of central tendencies and variability on populations to analyze data and make inferences. (7.SP.4)
I can determine probabilities of compound events using organized lists, sample space tables, tree diagrams, and simulation. (7.SP.8)
Quarter 4
I can describe a sequence of rigid motions (translations, reflections, and rotations) that proves two figures are congruent. (8.G.2)
I can describe a sequence of a dilation and a basic rigid motion that proves two figures are similar. (8.G.4)
I can construct triangles when given measures of angles and/or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. (7.G.2)
I can solve real-world and mathematical problems involving area of two-dimensional objects composed of triangles and trapezoids. (7.G.6)
I can describe the two-dimensional shapes that result from slicing three-dimensional solids parallel or perpendicular to the base. (7.G.3)
I can determine the angles created when parallel lines are cut by a transversal. (8.G.5)
I can apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real world and mathematical problems in two and three dimensions. (8.G.7)
I can calculate the volume of cones, cylinders, and spheres, when given the formulas to solve mathematical and real-world problems. (8.G.9)
I can calculate numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. (8.EE.3)
I can perform multiplication and division with numbers expressed in scientific notation, including problems where both standard decimal form and scientific notation are used. (8.EE.4)