6th Grade Pre-AP/GT Pacing Guide | ||
Time Frame | TEKS | |
Number and Quantitative Reasoning—August 23-September 17 | ||
1 Day | 7.7A(6.7A) | 7.7A Locate and name points on a coordinate plane using ordered pairs of integers |
2 Weeks | 6.1D 6.1E 6.1F | 6.1D Write prime factorizations using exponents 6.1E Identify factors of a positive integer, common factors, and the greatest common factor of a set of positive integers6.1F Identify multiples of a positive integer and common multiples and the least common multiple of a set of positive integers |
3 Days | 6.2C 6.2D | 6.2C Use multiplication and division of whole numbers to solve problems including situations involving equivalent ratios and rates6.2D Estimate and round to approximate reasonable results and to solve problems where exact answers are not required |
1 ½ Weeks | 7.2E(6.2E) | 7.2E Simplify numerical expressions involving order of operations and exponents |
1 Week | 6.1C | 6.1C Use integers to represent real-life situations |
Fractions, Decimals, and Percents—September 20-November 5 | ||
2 Weeks | 6.1A 6.1B 7.1B 6.2A 6.2B 6.2D 7.2A 7.2B 7.2F 7.2G | 6.1A Compare and order non-negative rational numbers 6.1B Generate equivalent forms of rational numbers including whole numbers, fractions, and decimals7.1B Convert between fractions, decimals, whole numbers, and percents mentally, on paper, or with a calculator6.2A Model addition and subtraction situations involving fractions with objects, pictures, words, and numbers6.2B Use addition and subtraction to solve problems involving fractions and decimals6.2D Estimate and round to approximate reasonable results and to solve problems where exact answers are not required7.2A Represent multiplication and division situations involving fractions and decimals with models, including concrete objects, pictures, words, and numbers7.2B Use addition, subtraction, multiplication, and division to solve problems involving fractions and decimals7.2F Select and use appropriate operations to solve problems and justify the selections7.2G Determine the reasonableness of a solution to a problem |
3 ½ Weeks | 7.13A 7.13B 7.13C 7.14A 7.15A | 7.13A Identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics 7.13B Use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness 7.13C Select or develop an appropriate problem-solving strategy from a variety of different types, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem 7.14A Communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models 7.15A Make conjectures from patterns or sets of examples and nonexamples |
1 Week | 6.3B 7.3A | 6.3B Represent ratios and percents with concrete models, fractions, and decimals 7.3A Estimate and find solutions to application problems involving percent |
Proportional Reasoning—November 8-December 10 | ||
3 Days | 6.2C 6.3A 6.3B 6.3C 6.4A 7.2D 7.3B 7.4B | 6.2C Use multiplication and division of whole numbers to solve problems including situations involving equivalent ratios and rates6.3A Use ratios to describe proportional situations6.3B Represent ratios and percents with concrete models, fractions, and decimals6.3C Use ratios to make predictions in proportional situations 6.4A Use tables of data to generate formulas representing relationships involving perimeter, area, volume or a rectangular prism, etc. 7.2D Use division to find unit rates and ratios in proportional relationships such as speed, density, price, recipes, and student-teacher ratio7.3B Estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units7.4B Graph data to demonstrate relationships in familiar concepts such as conversions, perimeter, area, circumference, volume, and scaling |
1 ½ Weeks | 7.13C 7.14A 7.15A 7.15B | 7.13C Select or develop an appropriate problem-solving strategy from a variety of different types, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem 7.14A Communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models 7.15A Make conjectures from patterns or sets of examples and nonexamples 7.15B Validate his/her conclusions using mathematical properties and relationships |
3 Days | 7.2E 7.4C 7.5A 7.5B | 7.2E Simplify numerical expressions involving order of operations and exponents7.4C Use words and symbols to describe the relationship between the terms in an arithmetic sequence (with a constant rate of change) and their positions in the sequence 7.5A Use concrete and pictorial models to solve equations and use symbols to record the actions 7.5B Formulate problem situations when given a simple equation and formulate an equation when given a problem situation |
1 Week | 7.14A 7.15A 7.15B | 7.14A Communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models 7.15A Make conjectures from patterns or sets of examples and nonexamples 7.15B Validate his/her conclusions using mathematical properties and relationships |
Measurement and Geometry—December 13-March 4 | ||
3 Weeks | 6.4A 7.3B 7.6D 6.8A 6.11A 6.11B | 6.4A Use tables of data to generate formulas representing relationships involving perimeter, area, volume or a rectangular prism, etc. 7.3B Estimate and find solutions to problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units7.6D Use critical attributes to define similarity 6.8A Estimate measurements (including circumference) and evaluate reasonableness of results 6.11A Identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics 6.11B Use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness |
1 ½ Weeks | 6.6A 6.6B 6.6C 7.6A 7.6B 7.6C 6.11A 6.11B | 6.6A Use angle measurements to classify angles as acute, obtuse, or right 6.6B Identify relationships involving angles in triangles and quadrilaterals 6.6C Describe the relationship between radius, diameter, and circumference of a circle 7.6A Use angle measurements to classify pairs of angles as complementary or supplementary 7.6B Use properties to classify triangles and quadrilaterals 7.6C Use properties to classify 3-D figures, including pyramids, cones, prisms, and cylinders 6.11A Identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics 6.11B Use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness |
3 Weeks | 6.4B 7.4A 7.4B 6.8C 6.8A 7.9A 7.9C 6.11A 6.11B | 6.4A Use tables and symbols to represent and describe proportional and other relationships such as those involving conversions, arithmetic sequences (with a constant rate of change), perimeter and area 7.4A Generate formulas involving unit conversions within the same system (customary and metric), perimeter, area, circumference, volume, and scaling 7.4B Graph data to demonstrate relationships in familiar concepts such as conversions, perimeter, area, circumference, volume, and scaling 6.8C measure angles 6.8A Estimate measurements (including circumference) and evaluate reasonableness of results 7.9A Estimate measurements and solve application problems involving length (including perimeter and circumference) and area of polygons and other shapes 7.9C Estimate measurements and solve application problems involving volume of prisms (rectangular and triangular) and cylinders 6.11A Identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics 6.11B Use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness |
1 Week | 7.7B 6.11A 6.11B | 7.7B Graph reflections across the horizontal or vertical axis and graph translations on a coordinate plane 6.11A Identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics 6.11B Use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness |
2 Days | 7.1C | 7.1C Represent squares and square roots using geometric models |
Probability and Statistics—March 7-April 14 | ||
1 Week | 6.3C 6.9A 6.9B | 6.3A Use ratios to describe proportional situations6.9A Construct sample spaces using lists and tree diagrams 6.9B Find the probabilities of a simple event and its complements and describe the relationship between the two |
2 Weeks | 6.10A 6.10C 6.10D 7.11A(6.10A) 7.11B(6.10D) 6.12B 6.13B | 6.10A Select and use an appropriate representation for presenting and displaying different graphical representations of the same data including line plot, line graph, bar graph, and stem and leaf plot 6.10C Sketch circle graphs to display data 6.10D Solve problems by collecting, organizing, displaying, and interpreting data 7.11A Select and use an appropriate representation for presenting and displaying relationships among collected data, including line plot, line graph, bar graph, stem and leaf plot, circle graph, and Venn diagrams, and justify the selection 7.11B Make inferences and convincing arguments based on an analysis of given or collected data 6.12B Evaluate the effectiveness of different representations to communicate ideas 6.13B Validate his/her conclusions using mathematical properties and relationships |
1 Week | 6.10B 6.12A 6.12B 6.13B | 6.10B Identify mean (using concrete objects and pictorial models), median, mode, and range of a set of data 6.12A Communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models 6.12B Evaluate the effectiveness of different representations to communicate ideas 6.13B Validate his/her conclusions using mathematical properties and relationships |
TAKS Prep and Testing—April 11-29 | ||
2 Weeks | Review | |
1 Week | Testing (6th Grade Math—April 26th) | |
Algebraic Thinking With All Rational Numbers—May 2-June 3 | ||
2 ½ Weeks | 7.2C | 7.2C Use models, such as concrete objects, pictorial models, and number lines, to add, subtract, multiply, and divide integers and connect the actions to algorithms |
1 ½ Weeks | 7.5A 7.5B | 7.5A Use concrete and pictorial models to solve equations and use symbols to record the actions 7.5B Formulate problem situations when given a simple equation and formulate an equation when given a problem situation |