Unit Title Key Concepts Vocabulary Common Core Standards Time Allotted Unit #1 The Number System Part 1 ENDURING UNDERSTANDINGS Rational numbers can be represented in multiple ways and are useful when examining situations involving numbers that are not ESSENTIAL QUESTIONS In what ways can rational numbers be useful? KEY IDEAS reading/labeling a number line adding/subtracting integers modeling adding/subtracting integers balancing checkbook activity integer basketball activity using positive/negative chips adding/subtracting integers word problems modeling open responses absolute value additive inverse integer negative opposite positive rational number 7.NS.1 7.NS.3 August Unit #2 The Number System Part 2 ENDURING UNDERSTANDINGS Rational numbers can be represented in multiple ways and are useful when examining situations involving numbers that are not whole. ESSENTIAL QUESTIONS In what ways can rational numbers be useful? KEY IDEAS multiplying integers dividing integers integer board game multiplying/dividing integers word problems using long division terminating/repeating decimals modeling open responses absolute value additive inverse complex fraction integer negative opposite positive rational number repeating decimal terminating decimal 7.NS.2 7.NS.3 September Unit #3 Fractions ENDURING UNDERSTANDINGS Fractions are an important concept and very useful for discussions about measurement, probability, and data. ESSENTIAL QUESTIONS In what ways can fractions be useful? KEY IDEAS changing improper fractions to mixed numbers changing mixed numbers to improper fractions adding/subtracting fractions adding/subtracting fractions word problems multiplying/dividing fractions multiplying/dividing fractions word problems open responses equivalent fractions greatest common factor improper fraction least common multiple mixed number rational number reciprocal 7.NS.3 October Unit #4 Decimals and Conversions ENDURING UNDERSTANDINGS Believe it or not, fractions, decimals, and percents are all related. You will use these basic functions for the rest of your life. decimals percent 7.NS.2 7.NS.3 7.RP.3 October & November
The rules of probability can lead to more valid and reliable predictions about the likelihood of an event occurring. ESSENTIAL QUESTIONS How is probability used to make informed decisions about uncertain events? KEY IDEAS finding probability “certain” events “impossible” events different between probability/chance theoretical probability experimental probability coin activity sample space counting principle compound events dependent/independent events permutations/combinations compound event counting principle dependent events event experimental probability factorial independent events likely outcome permutation sample space theoretical probability tree diagram unlikely 7.SP.8 Unit #8 Geometry Part 1 ENDURING UNDERSTANDINGS Geometric attributes (such as shapes, lines, angles, figures, and planes) provide descriptive information about an object’s properties and position in space and support visualization and problem solving. ESSENTIAL QUESTIONS How does geometry better describe objects? KEY IDEAS identifying rays/segments/lines right/acute/obtuse angles angles that are complementary/supplementary adjacent/vertical/congruent angles scalene/isosceles/equilateral triangles right/acute/obtuse triangles classifying polygons regular/irregular polygons special quadrilaterals difference between square/rectangle trapezoid/parallelogram/rhombus congruent polygons identifying parts of a circle constructing circle graphs constructing perpendicular finding bisector/section bisector/midpoint compass activity acute triangle circle graph complementary equilateral triangle isosceles triangle obtuse triangle parallel lines parallelogram rectangle regular polygon rhombus triangle scalene triangle square supplementary trapezoid 7.G.1 7.G.2 7.G.3 7.G.5 March Unit #9 Part 2 ENDURING UNDERSTANDINGS Geometric attributes (such as shapes, lines, angles, figures, and planes) provide descriptive information about an object’s properties and position in space and support visualization and problem solving. ESSENTIAL QUESTIONS How does geometry better describe objects? area circumference cone cylinder hypotenuse irrational number net 7.G.1 7.G.3 7.G.4 7.G.6 & April
KEY IDEAS estimating perimeter area finding height/base of parallelograms finding perimeter/area of parallelograms finding perimeter/area of triangles finding area of trapezoids finding area of irregular shapes finding circumference/area of circles perfect square/square root the Pythagorean Theorem classifying 3-dimensional figures drawing 3-dimensional figures finding surface area/volume of prisms finding surface area/volume of cylinders using nets activity finding geometry in the real world activity perimeter prism pyramid Pythagorean Theorem sphere square root surface area three-dimensional figure volume Unit #10 Displaying and Analyzing Data ENDURING UNDERSTANDINGS The rules of probability can lead to more valid and reliable predictions about the likelihood of an event occurring. ESSENTIAL QUESTIONS How is probability used to make informed decisions about uncertain events? KEY IDEAS displaying data using frequency tables/line plots/histograms interpreting data spreadsheets using double bar graphs/double line graphs working with stem-and-leaf plots identifying random samples writing survey questions survey activity identifying populations identifying misleading graphs/statistics drawing/interpreting scatter plots biased question cell double bar graph double line graph frequency histogram legend line plot negative no trend population positive trend random sample sample scatter plot spreadsheet stem-and-leaf plot 7.SP.1 7.SP.2 7.SP.3 7.SP.4 April & May