Ganado Unified School District 7 th Grade Mathematics

Transcription

1 Ganado Unified School District 7 th Grade Mathematics PACING Guide SY Quarter 3 Week 1 Graphs Text Reference Concept : Use random sampling to draw inferences about population. 7.SP.A.1. Understand that statistic can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. population? sample? random sample, convenience sample and biased sample? How do we know whether each sample may be biased? random sampling? Understand that statistic can be used to be gain information about population by examining a sample of population. Describe a situation in which you would want to use a sample rather than survey the entire population. Identify potentially biased samples Determine which sampling method will better represent the entire population. Population Sample Random sample Convenience sample Biased sample Week 2 Graph Concept : Use random sampling to draw inference about population. 7.SP.A.2. Use data from a random sample to draw inference about a population with an unknown How do we identify a potentially biased sample? I will be able to: Determine which sampling method will better represent the entire population. Give examples of biased sample. Upper quartile Range Lower quartile Population Ganado USD-PACING GUIDE (MATH/7 th Grade) Page 1

2 characteristics of interest. Generate multiple sample ( or simulated samples) of the same size to gauge the variation in estimates or predictions. For example, estimate the mean word length in a by randomly sampling words from the ; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be. How do we very verify based on statistical date? How do we find he mean, median, mode, range and outlier? How is statistics can be used to gain information about population by examining a sample of population? Find the mean median, mode and range. Solve problems that involves random sampling. Week 3 Graph Document Concept : Draw informative inference about two populations. 7.SP.B.3. Informally assess the degree of visual overlap of two numerical data distributions with similar variability, measuring the difference between the centers by expressing it as a multiple of a measure of variability. For example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability on either team, on a How do we use a box-and-whisker plot? How do we order data form least to greatest. Find the least and greatest value, the median, and the lower and upper quartiles? What can you tell about a data set from a box-andwhisker plot? How is the range and the Explain whether you would survey the population or use a sample. Use the box-and-whisker plot. Make a box-and-whisker plot of the data. Describe the distribution of the number of a given data. Explain how the range and the interquartile range of a set of data are different. Box-and whisker Interquartile Lower quartile Upper quartile Ganado USD-PACING GUIDE (MATH/7 th Grade) Page 2

3 dot plot, the separation between the two distribution of heights is noticeable. interquartile range of a set of data are different? Week 4 Graphs Concept : Draw construct, and describe geometric figures and describe the relationship between them. 7.G.A.1. Solve problems involving scale drawing of geometric figures, such as computing actual length and areas from a scale drawing and reproducing a scale drawing at a different scale geometric figure? What are the formula to determine the areas and the perimeter of a geometric figures? How do we find the measurement of the length and width of the rectangle? How do we estimate area of a given figure? How do we solve the areas? Reproduce a given figure by doubling the length or width? Compute the actual length or width of a given geometric figure? Use the given scale accurately? Use the area formula, circumference formula correctly to solve a problem. Find the area of a circle or square and perimeter? Geometric figure Area Perimeter Scale drawing Measure Formula Estimate Week 5 Document Concept : Draw, construct, and describe geometrical figures and describe the relationship between them. 7.G.A.2 Draw (freehand, with ruler and protractor, and with : How do we use the protractor to construct a given triangles, Use protractors, rules to construct a give triangles. Accurately construct a geometric figures? Protractor Dimension Triangles Isosceles triangle Ganado USD-PACING GUIDE (MATH/7 th Grade) Page 3

4 technology) geometric shapes with given condition. Focus on constructing triangles from three measures of angles sides, noticing when the condition determine the unique triangle, more than one triangle or no triangle n isosceles triangle? How do we draw a quadrilateral with one set of parallel side and no right angles? Can we draw a triangle with sides that are 13 cm, 5 cm, and 6 cm? Draw a quadrilateral with one set of parallel sides and no right angles. Draw a triangle with sides that are 13 c, 5 cm, and 6 cm? Use point, line segments, parallelisms, congruence and perpendicularity to construct a triangle. Draw a triangles with only one 80 degree angle. Quadrilateral Week 6 Document Concept : Draw, construct, and describe geometric figures and describe the relationship between them. 7.G.A.3. Describe the two dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids geometric model? What materials so you use to make a geometric model like a triangular prism? What happened to a given figure if you cut it diagonally, perpendicularly and parallel to the base? I will be able to: Describe two figures that were divided into two? Identify a three-dimensional figure. Visualize a figure that was divided into a right rectangular figure? Visualize a figure that was divided into right rectangular pyramids. Describe a two dimensional figure and tell what kind of figure that was formed. Twodimensional figure Threedimensional figure Right rectangular prism Right rectangular pyramids Ganado USD-PACING GUIDE (MATH/7 th Grade) Page 4

5 Week 7 Document Concept : Solve real-life and mathematical problems involving angle measure, area, surface area, and volume? 7.G.B.4. Know the formulas for the area and circumference of a circle and solve problems, give an informal derivation of the relationship between the circumference and area of a circle. rea? circumference? How do we find the area of a circle? radius? Diameter? What is the formula for finding a the area of a circle? What is the formula for finding a circumference of a circle? What is the relationship between circumference and area of a circle? Solve the area and circumference of a circle. Use the formula correctly to find the areas and circumference. Relate the relationship between circumference and areas. Find the areas given the radius or diameter. Use the formula of area and circumference to solve problems in actual life situation. Solve real-world problem and mathematical problems involving area and circumference. Surface area Circumference Volume Angle measure Formula Week 8 Document Concept : Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. What is point, line, plane, ray, line segment and congruent? Why line and a plane can be named in more than two ways? Identify line segment, point, plane, ray, line segment, and congruent Give an example of line and coordinate plane. Identify the line segment that are congruent. Angle Vertex Right angle Acute angle Obtuse angle Straight angle 7.G.B.5. Use facts about Ganado USD-PACING GUIDE (MATH/7 th Grade) Page 5

6 Week 9 Document supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure Concept : Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. 7.G.B.6. Solve real-world and mathematics problems involving area, volume, and surface area of two-dimensional objects composed of triangle, quadrilaterals, polygons, cubes, and right prisms. Why is important to choose three points that are not on the same line when naming plane? How do we identify line segments? What is complementary angle? supplementary angle? How do we name an angle? surface area, lateral face and lateral area? How do we find the surface area of a prism? How do we find the surface area of a cylinder? Name an angle, line segment, ray, plane and angle correctly Use diagram to tell whether the angles are complementary and supplementary or neither. Describe three different ways to classify an angle. Explain how to find the measurement of a give angle. Explain why two obtuse angles cannot be supplementary to one another. Classify a pair of angles, as supplementary or supplementary, then find the unknown angle measure. Compare and contrast the formulas for volume of prism, and volume of a cylinder. Explain what is a cubic unit is. What units would you use for the volume of a figure measured in yards. Complementar y angles Supplementary angles Perpendicular lines Vertical angle Transversal Volume Prism Cylinder Cross-section Threedimensional figures Polyhedron Base Cone Ganado USD-PACING GUIDE (MATH/7 th Grade) Page 6

7 How do we find the dimensions of a figure? Find the volume of a composite figure. Sphere Ganado USD-PACING GUIDE (MATH/7 th Grade) Page 7