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2. Equations and expressions model quantitative relationships and phenomenaRepresent and analyze quantitative relationships between dependent and independent variables. (CCSS: 6.EE) S2B1
Use variables to represent two quantities in a real-world problem that change in relationship to one another. (CCSS:6.EE.9)
Write an equatin to express one quantitiy, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. (CCSS:6.EE.9)
Analyze the relationshkp between the dependent and independent variables using graphs and tables, and relate these to the equation. (CCSS: 6.EE.9)
a.Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form, using tools strategically. I
Use number relationships to find the missing number in a sequence. (CCSS:4.0A.5) S2B1
I will put together multi-step real-life problems posed with positive rational numbers in any form, using tools strategically.
I will compute multi-step mathematical problems posed with positive rational numbers in any form, using tools strategically.
I will put together multi-step real-life problems posed with negative rational numbers in any form, using tools strategically.
I will compute multi-step mathematical problems posed with negative rational numbers in any form, using tools strategically.
Appl
Holt, Rinehart, and Winston
P. 136-137
Equations
Positive rational
numbers
Negative rational
numbers2. Equations and expressions model quantitative relationships and phenomenab. 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.I
I will make use of properties of operations to calculate with numbers in any form using mental computation strategies.
I will make use of properties of operations to calculate with numbers in any form using mental estimation strategies.
I will apply properties of operations to convert between forms as appropriate of answers using mental computation.
I will apply properties of operations to convert between forms as appropriate of answers using estimation strategies.
I will apply properties of operations to assess the reasonableness of answers using mental computation.
I will apply properties of operations to assess the reasonableness of answers using estimation strategies.
ApplHolt, Rinehart, and Winston
P. 4, 13
Algebraic Expressions
Terms
2. Equations and expressions model quantitative relationships and phenomenac. Use variables to represent quantities in a real-world or
mathematical problem, & construct simple equations and inequalities to solve problems by reasoning about the quantities.
Fluently 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. I
Compare an algebraic solution to an arithmetic solution, identifying the sequence of the approach.
iii. 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. I
Graph the solution set of the inequality and interpret it in the context of the problem. II will utilize variables to represent quantities in a real-world problem by reasoning about the quantities.
I will build variables to represent quantities in a mathematical problem.
I will use variables to represent and construct simple equations by reasoning about the quantities.
I will use variables to represent and construct simple inequalities to solve problems by reasoning about the quanties.
I will fluently solve word problems leading to equations of the form px +s q = r and p(x+q) = r, where p, q, and r are specific rational numbers.
I will compare an algebraic solution to an arithmetic solutionof the operations used in each approach.
I will compare an algebraic solution identifying sequence of the operations used in each approach.
I will solve word problems leading to inequalities of the px + q > r where p, q, and r are specific rational numbers.
I will solve word problems leading to inequalities of the form px + q < r, where p, q, and r are specific rational numbers.
I will graph the solution set of the inequality of the problem.
I will interpret the solution set in the context of the problem.
Appl
Appl
Appl
Appl
Holt, Rinehart, and Winston
P. 13, 34
P. 23
P. 24, 78, 567-568
Variables
Rational
Numbers
Inequalities
Inequality
2. Linear measure, angle measure, area &volume are fundamentally different and require
different units of measurea. State the formulas for the area and circumference of a circle and use them to solve problems. II will state the formula for area of a circle.
I will state the formula for circumference of a circle.
I will use the formula for area of a circle and use it to solve problems.
I will use the formula for circumference of a circle to solve problems.
KnowHolt, Rinehart, and Winston
P. 295, 294-295Circumference
of a circle
Diameter
Radius2. Linear measure, angle measure, area, and volume are fundamentally different and require
different units of measureb. Give an informal derivation of the relationship between the circumference and area of a circle. II will explain an informal derivation of the relationship between the circumference of a circle.
I will explain an informal derivation of the relationship between the area of a circle.
CompHolt, Rinehart, and Winston
P. 295, 294-295Area of a circle
Circumference
of a circle
Diameter
Radius2. Linear measure, angle measure, area, and volume are fundamentally different and require
different units of measurec. Use properties of supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure. I I will use properties of supplementary angles in a multi-step problem to write simple equations for an unknown angle in a figure.
I will use properties of supplementary angles in a multi-step problem to solve simple equations for an unknown angle in a figure.
I will use properties of complimentary angles in a multi-step problem to write simple equations for an unknown angle in a figure.
I will use properties of complimentary angles in a multi-step problem to solve simple equations for an unknown angle in a figure.
I will use properties of vertical angles in a multi-step problem to write simple equations for an unknown angle in a figure.
I will use properties of vertical angles in a multi-step problem to solve simple equations for an unknown angle in a figure.
I will use properties of adjacent angles in a multi-step problem to write simple equations for an unknown angle in a figure.
I will use properties of adjacent angles in a multi-step problem to solve simple equations for an unknown angle in a figure.
ApplHolt, Rinehart, and Winston
P. 223, 223-224Supplementary
Complementary
Vertical
Adjacent Angle
Volume2. Linear measure, angle measure, area, and volume are fundamentally different and require
different units of measured. Solve real-world and mathematical problems involving area, volume and
surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right
prisms. I
____________________________
Represent and analyze quantitative relationships between dependent and independent variables.
(CCSS: 6.EE) S2B2
Use variables to represent two quantities in a real-world problem that change in relationship to one another. (CCSS: 6.EE.9)
Write an equation to express one quantity, thought of as the dependent variable, interms of the other quantity, thought of ast the independent variable. (CCSS: 6.EE.9)
Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. (CCSS.6EE.9) S2B2
____________________________
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers. (CCSS: 6.EE.7) S2B2
___________________________
Use number relationships to find the missing number in a sequence. (CCSS: 4.OA.5) S2B2
Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. (CCSS: 6.EE.9) S2B5
____________________________
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities tosolve problems by reasoning about the quantities. (CCSS: 7.EE.4)
Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects. (CCSS:3.MD) S5B1
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into tirangles and other shapes. (CCSS: 6.G.1) S5B1
____________________________
Represent measurement quantities using diagrams such as number line diagrams that feature a measuremtn scale. (CCSS: 4.MD.2) S5B3
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. (CCSS: 7.G.1) S5B3
____________________________
Compute unit rates associates with ratios of fractions, including ratios of lengths, areas and other quantities measure in like or different units. (CCSS: 7.RP.1) S5B3
____________________________
Display numerical data in plots on a number line, including dot plots, histograms, and box plots. (CCSS: 6.SP. 4) S5B3
Develop an apply formulas and procedures for area of plane figures. (CCSS: 6.G.1) S5B4
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into tirangles and other shapes. (CCSS: 6.G.1)
Apply these techniques in the context of solving real-world and mathematical problems. (CCSS: 6.G.1)
____________________________
Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. (CCSS: 7.RP.1) S5B3
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. (CCSS: 7.EE.3) S6B3
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. (CCSS:7.EE.3) S6B4
I will solve real-world problems involving area of two-dimensional objects composed of triangles.
I will solve real-world problems involving area of three-dimensional composed of triangles.
I will solve real-world problems involving volume of two-dimensional objects composed of triangles.
I will solve real-world problems involving volume of three-dimensional composed of triangles.
I will solve real-world problems involving surface area of two-dimensional objects composed of triangles.
I will solve real-world problems involving surface area of three-dimensional composed of triangles.
I will solve real-world problems involving area of two-dimensional objects composed of quadrilaterals.
I will solve real-world problems involving area of three-dimensional composed of quadrilaterals.
I will solve real-world problems involving volume of two-dimensional objects composed of quadrilaterals.
I will solve real-world problems involving volume of three-dimensional composed of quadrilaterals.
I will solve real-world problems involving surface area of two-dimensional objects composed of triangles quadrilaterals.
I will solve real-world problems involving surface area of three-dimensional composed of quadrilaterals.
I will solve real-world problems involving area of two-dimensional objects composed of polygons.
I will solve real-world problems involving area of three-dimensional composed of polygons.
I will solve real-world problems involving volume of two-dimensional objects composed of polygons.
I will solve real-world problems involving volume of three-dimensional composed of polygons.
I will solve real-world problems involving survace area of two-dimensional objects composed of triangles polygons.
I will solve real-world problems involving surface area of three-dimensional composed of polygons.
I will solve real-world problems involving area of two-dimensional objects composed of cubes.
I will solve real-world problems involving area of three-dimensional composed of cubes.
I will solve real-world problems involving volume of two-dimensional objects composed of cubes.
I will solve real-world problems involving volume of three-dimensional composed of cubes.
I will solve real-world problems involving survace area of two-dimensional objects composed of triangles cubes.
I will solve real-world problems involving surface area of three-dimensional composed of cubes.
I will solve real-world problems involving area of two-dimensional objects composed of right prisms.
I will solve real-world problems involving area of three-dimensional composed of right prisms.
I will solve real-world problems involving volume of two-dimensional objects composed of right prisms.
I will solve real-world problems involving volume of three-dimensional composed of right prisms.
I will solve real-world problems involving surface area of two-dimensional objects composed of right prisms.
I will solve real-world problems involving surface area of three-dimensional composed of prisms.
I will represent and analyze quantitative relationships between dependent and independent variables.
I will analyze quantitative relationships between dependent and independent variables.
I will use variables to represent two quantities in a real-world problem that change in relationship to one another.
I will write an equation to express one quantity, thought of as the dependent variable, interms of the other quantity, thought of ast the independent variable.
I will analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.
I will solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
I will solve and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
______________________
I will use number relationships to find the missing number in a sequence.
I will analyze the relationship between the dependent variables using graphs and tables, and relate these to the equation.
I will analyze the relationship between the independent variables using graphs and tables, and relate these to the equation.
I will use variables to represent quantities in a real-world problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
I will use variables to represent quantities in mathematical problem, and construct simple equations and inequalities tosolve problems by reasoning about the quantities.
I will solve problems involving measurement and estimation of intervals of time.
I will solve problems involving estimation of intervals of time.
I will solve problems involving measurement of liquid volumes.
I will solve problems involving estimation of liquid volumes.
I will solve problems involving measurement of masses of objects.
I will solve problems involving estimation of masses of object
I will find the area of right triangles, by composing into rectangles or decomposing into triangles and other shapes.
I will find the area other triangles by composing into rectangles or decomposing into triangles and other shapes.
I will find the area of special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes.
I will find the area of polygons by composing into rectangles or decomposing into triangles and other shapes.
I will represent measurement quantities using diagrams such as number line diagrams that feature a measuremtn scale.
I will solve problems involving scale drawings of geometric figures, including computing actual lengths from a scale drawing and reproducing a scale drawing at a different scale.
I will solve problems involving scale drawings of geometric figures, including computing actual areas from a scale drawing and reproducing a scale drawing at a different scale.
I will compute unit rates associates with ratios of fractions, including ratios of lengths, areas and other quantities measure in like or different units.
Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
I will develop an apply formulas and procedures for area
figures.
I will develop an apply formulas and procedures for plane figures.
I will find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into tirangles and other shapes.
I will apply these techniques in the context of solving real-world and mathematical problems.
______________________
I will compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
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.
Apply properties of operations to calculate with numbers in any form, convert between forms as appropriate, and assess the reasonableness of answers using estimation strategies.
Appl
Anal
_______
Appl
Appl
Anal
Appl
Appl
Appl
Comp
Appl
Appl
Appl
Appl
ApplHolt, Rinehart, and Winston
P. 281, 286Area
Volume
Surface Area
Quadrilaterals
Polygon
Right Prism
ROCKY FORD CURRICULUM GUIDE
SUBJECT: Math GRADE: 7 TIMELINE: 2nd Quarter
Grade Level ExpectationEvidence OutcomeStudent-Friendly
Learning ObjectiveLevel of
ThinkingResource Correlation
Academic Vocabulary
Learning Keys, 800.927.0478, HYPERLINK "http://www.learningkeys.org" www.learningkeys.org Page PAGE \* MERGEFORMAT 1
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