1st Grade Math GRADE LEVEL STANDARDS/DOK PERFORMANCE ESSENTIAL SUGGESTED ACTIVITIES/ INDICATORS QUESTIONS ASSESSMENTS CONTENT/TERMS GRADING PERIOD Number Properties and Operations Whole number sense and addition and subtraction are key concepts and skills developed in early childhood. Students build on their number sense and counting sense to develop multiplication and division. They move flexibly and fluently through basic number facts, operations and representations. Their understanding of the base-10 number system expands to include decimals. They examine various meanings and models of fractions. They explore data, perform measurements and examine patterns as part of the development process for number and operations, using other mathematics strands to enrich number. Computational fluency with whole numbers, relationships among decimals and fractions and techniques for reasonable estimations represent elementary number. Number Sense MA-EP-1.1.1 Students will: • Apply multiple representations (e.g., drawings, manipulatives, base-10 blocks, number lines, expanded form, symbols) to describe whole numbers (0 to 9,999): • Apply multiple representations (e.g., drawings, manipulatives, base-10 blocks, number lines,expanded form, symbols) to describe fractions (halves, thirds, fourths); • Apply these numbers to represent real-world problems; and • Explain how the base 10 number system relates to place value. DOK 2 Apply multiple representations to describe and compare whole numbers and fractions. How can you show a whole number three different ways? Subtraction Kentucky Learns Links (Process of Adding and Subtracting) How can you divide a shape into halves, thirds, and fourths? Kentucky Learns Links (Counting and Identifying Numbers) How can you group objects by ones and tens? Kentucky Learns Links (Place Value (Ones and Tens)) How do numbers help us solve real-world problems? Place value, tens, ones, hundreds manipulatives. Number sentence, digit, number line, equation, 2 digit number, column, fractions. Minus, sum, difference, addend, solve, vertical, horizontal Bold – State Assessment Content Statement Italics – Supporting Content Statement *Performance Indicators represent skills from Program of Studies. 1 updated 6/11/08 1st Grade Math GRADE LEVEL STANDARDS/DOK PERFORMANCE ESSENTIAL SUGGESTED ACTIVITIES/ INDICATORS QUESTIONS ASSESSMENTS CONTENT/TERMS Bold – State Assessment Content Statement Italics – Supporting Content Statement *Performance Indicators represent skills from Program of Studies. GRADING PERIOD 2 updated 6/11/08 1st Grade Math GRADE LEVEL STANDARDS/DOK PERFORMANCE ESSENTIAL SUGGESTED ACTIVITIES/ INDICATORS QUESTIONS ASSESSMENTS CONTENT/TERMS MA-EP-1.1.2 Students will read, write and rename whole numbers (0 to 9,999) and apply to real-world and mathematical problems. Read, write, count and model whole numbers (0 to 1000), developing an understanding of place value for ones, tens, hundreds and thousands. MA-EP-1.1.3 Students will compare (<, >, =) and order whole numbers to whole numbers, decimals to decimals (as money only) and fractions to fractions (limited to pictorial representations). DOK 2 Order groups of objects according to quantity. How big do numbers get? Pumpkin Seeds How can you count differently? Kentucky Learns Links (Counting and Identifying Numbers) GRADING PERIOD How are numbers similar and different? Numeral, before, after, between Which is greater? Pumpkin Seeds Which is less? Order, compare and understand the relative magnitude of numbers (0 to 1000) using the symbols <, >, =, including the use of physical and visual models for smaller numbers. Develop beginning fractional concepts (e.g., dividing into equal parts) for halves, thirds and fourths. Kentucky Learns Links How big do numbers get? How are numbers similar and different? How are numbers similar and different? Numeral, before, after, between, skip counting, odd, even, compare, contrast, similar, different, digit, greater than, less than, equal, < > =, Place value, tens, ones Estimation Bold – State Assessment Content Statement Italics – Supporting Content Statement *Performance Indicators represent skills from Program of Studies. 3 updated 6/11/08 1st Grade Math GRADE LEVEL STANDARDS/DOK PERFORMANCE ESSENTIAL SUGGESTED ACTIVITIES/ INDICATORS QUESTIONS ASSESSMENTS CONTENT/TERMS MA-EP-1.2.1 Students will apply and describe appropriate strategies for estimating quantities of objects and computational results (limited to addition and subtraction). DOK 2 Explore appropriate estimation procedures for different situations. What is estimation? Describe strategies for estimating quantities of objects and computational results. Count backward Use mental math, pencil-and-paper methods, calculators, and/or computers to explore mathematical concepts and to assist with computation in problem solving situations. GRADING PERIOD Kentucky Learns Links (Estimation) Count forward How big do numbers get? How do you make estimation? How can you count differently? How are numbers similar and different? Numeral, similar, different, estimate – (a good guess) Number Operations A-EP-1.3.1 Students will analyze real-world problems to identify appropriate representations using mathematical operations, and will apply operations to solve real-world problems with the following constraints: • add and subtract whole numbers with three digits or less; • multiply whole numbers of 10 or less; • add and subtract fractions with like denominators less than or equal to four and Develop an understanding of the concepts of addition and subtraction using physical objects and concrete materials. Develop part-whole relations using numbers (e.g. 3+2=5). Explore and solve, two- Bold – State Assessment Content Statement Italics – Supporting Content Statement *Performance Indicators represent skills from Program of Studies. Subtraction Number sentence, equation, 2 digit number, column, 3 digit number Kentucky Learns Links (Process of Adding and Subtracting) Some and some more Some and some went away Add, subtract, plus, equal, minus, manipulatives, 4 updated 6/11/08 1st Grade Math GRADE LEVEL STANDARDS/DOK PERFORMANCE ESSENTIAL SUGGESTED ACTIVITIES/ INDICATORS QUESTIONS ASSESSMENTS CONTENT/TERMS add and subtract decimals related to money. DOK 2 digit addition and subtraction problems using manipulatives. • GRADING PERIOD sum, difference, addend, solve, vertical, horizontal Numeral Solve multi-digit addition and subtraction problems that contain numerals and symbols. Be introduced to and use decimals to represent money. MA-EP-1.3.2 Students will skip-count forward and backward by 2s, 5s, 10s, and 100s. Add and subtract decimals using money. (See standard.) How big do numbers get? How can you count differently? Kentucky Learns Links (Counting Patterns in Numbers) Pumpkin Seeds How are numbers similar and different? Numeral, before, after, between, skip counting, odd, even, compare, contrast, similar, different, digit MA-EP-1.3.3 (Not applicable.) Students will divide two digit numbers by single digit divisors (with or without remainders) in real-world and mathematical problems. Ratios and Proportional Reasoning (not assessed at the elementary level) Properties of Numbers and Operations Bold – State Assessment Content Statement Italics – Supporting Content Statement *Performance Indicators represent skills from Program of Studies. Kentucky Learns Links 5 updated 6/11/08 1st Grade Math GRADE LEVEL STANDARDS/DOK PERFORMANCE ESSENTIAL SUGGESTED ACTIVITIES/ INDICATORS QUESTIONS ASSESSMENTS CONTENT/TERMS MA-EP-1.5.1 Students will identify and provide examples of odd numbers, even numbers and multiples of a number, and will apply these numbers to solve real-world problems. DOK 2 Explore, develop and use the concepts of nultiples. MA-EP-1.5.2 Students will use the commutative properties of addition and multiplication, the identity properties of addition and multiplication and the zero property of multiplication in written and mental computation. GRADING PERIOD Kentucky Learns Links Skip-count forward and backward by 2’s, 5’s, 10’s, and 100’s using manipulatives, mental math and written and electronic means. Explore, develop and use odd and even numbers. Explore and use properties of numbers for written and mental computation (commutative property of addition, e.g., 4+7+6 could be mentally regrouped as 4+6+7). Kentucky Learns Links Measurement Students progress from measuring using nonstandard units to using standard units of measurement. They identify measurable attributes of objects, estimate and measure weight, length, perimeter, area, angles, temperature, time and money. They convert units within the same measurement system. Measuring Physical Attributes Combine coins and How is money Kentucky Learns Links MA-EP-2.1.1 bills to make a given alike/different? (Measurement) Students will apply standard units to measure amount. length (to the nearest half-inch or the nearest How can you tell time? Kentucky Learns Links centimeter) and to determine: Apply standard units to (Coins and Money) • weight (nearest pound); measure length (inches Half past the hour, • time (nearest quarter hour); and penny, nickel, dime, and centimeters), • money (identify coins and bills by value) weight (pounds), time quarter, cents, dollar, ¢, and (hour, half-hour), value, clock, minute, • temperature (Fahrenheit). Bold – State Assessment Content Statement Italics – Supporting Content Statement *Performance Indicators represent skills from Program of Studies. 6 updated 6/11/08 1st Grade Math GRADE LEVEL STANDARDS/DOK PERFORMANCE ESSENTIAL SUGGESTED ACTIVITIES/ INDICATORS QUESTIONS ASSESSMENTS CONTENT/TERMS DOK 1 money (coins and dollar bill) and temperature (Fahrenheit). GRADING PERIOD hour, digital, minute hand, hour hand, inches, foot, centimeter, length, ruler, standard, non-standard Relate time to daily activities; tell time to the hour and half-hour. Use nonstandard units to measure and compare length, weight, area, or volume of familiar objects. Use standard units of measurement to identify, describe and compare measurable attributes of objects (e.g., length, weight, volume) and sort, classify or compare and order objects by shape, size, and color. Identify, compare and order money using coins and bills and use correct symbols for money. Bold – State Assessment Content Statement Italics – Supporting Content Statement *Performance Indicators represent skills from Program of Studies. 7 updated 6/11/08 1st Grade Math GRADE LEVEL STANDARDS/DOK PERFORMANCE ESSENTIAL SUGGESTED ACTIVITIES/ INDICATORS QUESTIONS ASSESSMENTS CONTENT/TERMS MA-EP-2.1.2 Students will use standard units to measure temperature in Fahrenheit and Celsius to the nearest degree. Use standard units to measure temperature in Fahrenheit to the nearest degree. What is temperature? GRADING PERIOD Kentucky Learns Links (Standard/Non-Standard Units of Measure) How can you measure temperature? What is a thermometer? Degrees, thermometer, Fahrenheit, Celsius, mercury, temperature, standard, non-standard, measure, units of measurement MA-EP-2.1.3 Students will choose and use appropriate tools (e.g., thermometer, scales, balances, clock, ruler) for specific measurement tasks. (See standard.) Kentucky Learns Links (Standard/Non-Standard Units of Measure) MA-EP-2.1.4 Students will use nonstandard and standard units of measurement to identify measurable attributes of an object (length – in, cm; weight – oz, lb) and make an estimate using appropriate units of measurement. (See standard.) Kentucky Learns Links (Standard/Non-Standard Units of Measure) MA-EP-2.1.5 Students will use units of measurement to describe and compare attributes of objects to include length (in, cm), width, height, money (cost), temperature (F) and weight (oz, lb), and sort objects and compare attributes by shape, size and color. MA-EP-2.1.6 Students will estimate weight, length, perimeter, (See standard.) Kentucky Learns Links (Standard/Non-Standard Units of Measure) Explore concepts of perimeter and area of Kentucky Learns Links Bold – State Assessment Content Statement Italics – Supporting Content Statement *Performance Indicators represent skills from Program of Studies. 8 updated 6/11/08 1st Grade Math GRADE LEVEL STANDARDS/DOK PERFORMANCE ESSENTIAL SUGGESTED ACTIVITIES/ INDICATORS QUESTIONS ASSESSMENTS CONTENT/TERMS area, angle measures and time using appropriate units of measurement. Systems of Measurement MA-EP-2.2.1 Students will describe, define, give examples of and use to solve real-world and mathematical problems nonstandard and standard (U.S. Customary, metric) units of measurement to include length (in., cm.), time, money, temperature (Fahrenheit) and weight (oz., lb). rectangles using manipulatives. (See standard.) How do you show and compare data? GRADING PERIOD Kentucky Learns Links (Systems of Measure) How is money alike/different? How can you tell time? What is a ruler? How do you measure? What is the difference between a digital and an anolog clock? Penny, nickel, dime, quarter, cents, dollar, ¢, value, clock, minute, hour, digital, minute hand, hour hand, inches, foot, centimeter, length, ruler, standard, non-standard MA-EP-2.2.2 Students will determine elapsed time by half hours. MA-EP-2.2.3 Students will convert units within the same measurement system including money (dollars, cents), time (minutes, hours, days, weeks, months), weight (ounce, pound) and length (inch, foot). (See standard.) Kentucky Learns Links (Systems of Measure) Convert units within the same measurement system including money (dollars, cents) and time (minutes, hours, days, weeks, Kentucky Learns Links (Systems of Measure) Bold – State Assessment Content Statement Italics – Supporting Content Statement *Performance Indicators represent skills from Program of Studies. 9 updated 6/11/08 1st Grade Math GRADE LEVEL STANDARDS/DOK PERFORMANCE ESSENTIAL SUGGESTED ACTIVITIES/ INDICATORS QUESTIONS ASSESSMENTS CONTENT/TERMS GRADING PERIOD months). (e.g., seven days in a week). Geometry Students explore and find basic geometric elements and terms, two-dimensional shapes and three-dimensional objects. They find and use symmetry. They move twodimensional figures in a plane and explore congruent and similar figures. Shapes and Relationships MA-EP-3.1.1 Students will describe and provide examples of basic geometric elements and terms (sides, edges, faces, bases, vertices, angles), and will apply these elements to solve real-world and mathematical problems. DOK 2 MA-EP-3.1.2 Students will describe and provide examples of basic two-dimensional shapes (circles, triangles, squares, rectangles, trapezoids, rhombuses, hexagons), and will apply these shapes to solve real-world and mathematical problems. DOK 2 MA-EP-3.1.3 Students will describe and provide examples of basic three-dimensional objects (spheres, cones, cylinders, pyramids, cubes) and will apply the attributes to solve real-world and mathematical problems. DOK 1 Identify, describe, model, draw, compare and classify twodimensional and threedimensional objects using elements, attributes and properties (e.g., sides, edges, angles). Identify, draw and represent line segments and angles. Investigate and solve real-world problems using the elements, attributes and properties of basic twodimensional figures. Investigate and solve real-world problems using the elements, attributes and properties of threedimensional objects. Bold – State Assessment Content Statement Italics – Supporting Content Statement *Performance Indicators represent skills from Program of Studies. How are shapes alike? Different? Kentucky Learns Links (Geometric Elements) Two-dimensional, square, circle, triangle, rectangle, oval, side, angle, points, congruent How are shapes alike? Different? Kentucky Learns Links (Shapes for P-1) Two-dimensional, square, circle, triangle, rectangle, oval, side, angle, points, congruent Kentucky Learns Links 10 updated 6/11/08 1st Grade Math GRADE LEVEL STANDARDS/DOK PERFORMANCE ESSENTIAL SUGGESTED ACTIVITIES/ INDICATORS QUESTIONS ASSESSMENTS CONTENT/TERMS MA-EP-3.1.5 Students will identify and describe congruent figures in real-world and mathematical problems. Transformations of Shapes (See standard.) MA-EP-3.2.1 Students will describe and provide examples of line symmetry in real-world and mathematical problems or will apply one line of symmetry to construct a simple geometric design. DOK 2 Determine lines of symmetry in simple shapes and identify and describe symmetrical two-dimensional figures. GRADING PERIOD Kentucky Learns Links How are shapes alike? Different? Alphabet Symmetry Kentucky Learns Links Describe symmetry in a real-life object. What is symmetry? Examine examples of line symmetry in realworld situations. Two-dimensional, square, circle, triangle, rectangle, oval, side, angle, points, congruent Coordinate Geometry MA-EP-3.3.1 (Not applicable) Kentucky Learns Links Students will locate points on a grid representing a positive coordinate system. Data Analysis and Probability Students pose questions, plan and collect data, organize and display data and interpret displays of data. They generate outcomes for simple probability activities, determine fairness of probability games and explore likely and unlikely events. Data Representations MA-EP-4.1.1 Students will analyze and make inferences from data displays (drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs with two or three sectors, line plots, two-circle Venn diagrams). DOK 3 Make a graph using concrete manipulatives and read data displayed on a concrete graph. How do you show and compare data? Valentine Graphing What are tally marks? Display, read and compare data on a pictograph and a bar graph. Bold – State Assessment Content Statement Italics – Supporting Content Statement *Performance Indicators represent skills from Program of Studies. M&M Math Kentucky Learns Links (Create and Explain Simple Graphs) Venn diagram, Data, graph, pictograph, bar graph, most, fewer, 11 updated 6/11/08 1st Grade Math GRADE LEVEL STANDARDS/DOK PERFORMANCE ESSENTIAL SUGGESTED ACTIVITIES/ INDICATORS QUESTIONS ASSESSMENTS CONTENT/TERMS GRADING PERIOD Analyze and make inferences from data displays (drawings, table/chairs, tally tables, pictographs, bar graphs, Venn diagrams). M&M Math MA-EP-4.1.2 Students will collect data. How do you collect data? Valentine Graphing How do you measure? MA-EP-4.1.3 Students will organize and display data. (See standard.) Data, graph, pictograph, bar graph How do you show and compare data? Kentucky Learns Links (Create and Explain Simple Graphs) M&M Math Kentucky Learns Links (Create and Explain Simple Graphs) Data, graph, pictograph, bar graph, most, fewer Characteristics of Data Sets MA-EP-4.2.1 Students will determine the mode (of a set of data with no more than one mode) and the range of a set of data. Experiments and Samples MA-EP-4.3.1 Students will pose questions that can be answered by collecting data. (Not applicable.) (See standard.) Use data from student investigations to make predictions or draw simple conclusions. Use tools (including technology) to organize Bold – State Assessment Content Statement Italics – Supporting Content Statement *Performance Indicators represent skills from Program of Studies. How do you show and compare data? Kentucky Learns Links What kind of questions can be answered by collecting data? Data, graph, pictograph, bar graph 12 updated 6/11/08 1st Grade Math GRADE LEVEL STANDARDS/DOK PERFORMANCE ESSENTIAL SUGGESTED ACTIVITIES/ INDICATORS QUESTIONS ASSESSMENTS CONTENT/TERMS GRADING PERIOD and display studentcollected data. Probability MA-EP-4.4.3 Students will describe and give examples of the probability of an unlikely event (near zero) and a likely event (near one). Explore chance through games and events. Kentucky Learns Links Compare likely and unlikely outcomes. Explore basic concepts of probability through simple experiments. Algebraic Thinking Students explore and examine patterns and develop rules to go with patterns. They generate input-output for functions and create tables to analyze functions. They use ordered pairs and plot points in the first quadrant of the Cartesian plane. Students use number sentences with missing values. Patterns, Relations, and Functions Kentucky Learns Links Identify and describe Explain patterns MA-EP-5.1.1 (Patterns in Numbers) patterns in real life and Students will extend simple patterns (e.g., in numerical and Identify different patterns 2,4,6,8,…; ◊∆◊∆…). geometric situations. DOK 2 Why is this a pattern? Reproduce and extend patterns using Pattern manipulatives. Use pictures or words to create, reproduce, extend, and explain patterns of shapes, objects, movements, sounds, and numbers. Recognize and extend simple number pattersn. Bold – State Assessment Content Statement Italics – Supporting Content Statement *Performance Indicators represent skills from Program of Studies. 13 updated 6/11/08 1st Grade Math GRADE LEVEL STANDARDS/DOK PERFORMANCE ESSENTIAL SUGGESTED ACTIVITIES/ INDICATORS QUESTIONS ASSESSMENTS CONTENT/TERMS GRADING PERIOD Use calculators to explore how constant addition produces a pattern and can be expressed as a rule for a pattern. MA-EP-5.1.2 Students will describe functions (input-output) through pictures and words. DOK 2 MA-EP-5.1.3 Students will determine the value of an output given a function rule and an input value. Variables, Expressions and Operations Equations and Inequalities MA-EP-5.3.1 Students will model real-world and mathematical problems with simple number sentences (equations and inequalities) with a missing value (e.g., 2 + ? = 7, ___< 6) and apply simple number sentences to solve mathematical and real-world problems. DOK 2 Read and create stories about mathematical sentences with missing values. Explore input-output machines and solve simple function machine tasks. (See standard.) Solve simple equations (e.g., 1+1=_). Kentucky Learns Links (Patterns in Numbers) Kentucky Learns Links (Patterns in Numbers) Kentucky Learns Links Solve simple inequalities (e.g., _<6). Solve for unknowns in simple open sentences. Use manipulatives, numbers and/or symbols to model realworld situations with simple number sentences. Bold – State Assessment Content Statement Italics – Supporting Content Statement *Performance Indicators represent skills from Program of Studies. 14 updated 6/11/08 1st Grade Math GRADE LEVEL STANDARDS/DOK PERFORMANCE ESSENTIAL SUGGESTED ACTIVITIES/ INDICATORS QUESTIONS ASSESSMENTS CONTENT/TERMS GRADING PERIOD Explore unknowns and open sentences to express relationships. Bold – State Assessment Content Statement Italics – Supporting Content Statement *Performance Indicators represent skills from Program of Studies. 15 updated 6/11/08