Horizons

Content

number concepts to 1 000 000

Unit 1: Number Theory: word numbers through hundred billion, expanded form through hundred billion, Roman numerals, divisibility, prime and composite, prime factorization/factor tree/exponents

Unit 2: Place Value: ones, tens, hundreds/thousands, ten thousands, hundred thousands/millions, ten million, hundred millions, billions, ten billions, hundred billions

Unit 3: Number order: rounding to the nearest 10, rounding to the nearest 100/rounding to the nearest 1000, greater than and less than, equal and not equal

decimals to thousandths

Unit 13: Decimals: fractions to decimals, word numbers to the thousandths, comparing decimals, ordering decimals, add decimals (horizontally and vertically), subtracting decimals, estimating decimals, estimating decimals with money, multiplying decimals by whole numbers, multiplying decimals by decimals, dividing decimals by whole numbers

equivalent fractions

Unit 12: Fractions: equivalent fractions, greatest common factor, reducing fractions, comparing and ordering fractions, adding and subtracting fractions with common denominator, mixed numbers, improper fractions, least common multiples, adding and subtracting fractions with unlike denominators, adding and subtracting mixed numbers without regrouping, renaming mixed numbers, adding mixed numbers, etc.

Unit 18: Percent: understanding the concept/finding the percent of a number, percent and decimals, percent and fractions, discount and sales tax, fractions as a percent

whole-number, fraction, and decimal benchmarks

Unit 13: Decimals: fractions to decimals, word numbers to the thousandths, comparing decimals, ordering decimals, add decimals (horizontally and vertically), subtracting decimals, estimating decimals, estimating decimals with money, multiplying decimals by whole numbers, multiplying decimals by decimals, dividing decimals by whole numbers

Unit 18: Percent: understanding the concept/finding the percent of a number, percent and decimals, percent and fractions, discount and sales tax, fractions as the percent

addition and subtraction of whole numbers to 1 000 000

Unit 5: Subtraction: subtraction properties, subtraction terms, basic facts, subtraction with two-three-four-five and six digit numbers, equations, estimating, subtracting money, more than one operation

multiplication and division to three digits, including division with remainders

Unit 6: Multiplication: multiplication terms, multiplication facts, multiplication properties/three-digit times a single digit numbers, three-digit times a single digit numbers, three-digit times three-digit numbers multiplying by 10, 100, and 1000, money by two-digit number, missing factors, estimating products, exponents

Unit 7: Division: division term, division facts, division properties, one-digit dividend by one-digit divisor with remainders

addition and subtraction of decimals to thousandths

Unit 5: Subtraction: subtraction properties, subtraction terms, basic facts, subtraction with two-three-four-five and six digit numbers, equations, estimating, subtracting money, more than one operation

Unit 13: Decimals: fractions to decimals, word numbers to the thousandths, comparing decimals, ordering decimals, add decimals (horizontally and vertically), subtracting decimals, estimating decimals, estimating decimals with money, multiplying decimals by whole numbers, multiplying decimals by decimals, dividing decimals by whole numbers

Unit 18: Percent: understanding the concept, finding the percent of a nmber, percent and decimals, percent and fractions, discount and sales tax, fractions as the percent

addition and subtraction facts to 20 (extending computational fluency)

Unit 5: Subtraction: subtraction properties, subtraction terms, basic facts, subtraction with two-three-four-five and six digit numbers, equations, estimating, subtracting money, more than one operation

Unit 13: Decimals: fractions to decimals, word numbers to the thousandths, comparing decimals, ordering decimals, add decimals (horizontally and vertically), subtracting decimals, estimating decimals, estimating decimals with money, multiplying decimals by whole numbers, multiplying decimals by decimals, dividing decimals by whole numbers

multiplication and division facts to 100 (emerging computational fluency)

Unit 6: Multiplication: multiplication terms, multiplication facts, multiplication properties/three-digit times a single digit numbers, three-digit times a single digit numbers, three-digit times three-digit numbers multiplying by 10, 100, and 1000, money by two-digit numbers, missing factors, estimating products, exponents

Unit 7: Division: division term, division facts, division properties, one-digit dividend by one-digit divisor with remainders

Unit 18: Percent: understanding the concept, finding the percent of a number, percent and decimals, percent and fractions, discount and sales tax, fractions as the percent

rules for increasing and decreasing patterns with words, numbers, symbols, and variables

Unit 14: Ratio: writing simple ratios, multiplying to find equal ratios, dividing to find equal ratios, cross products

Unit 15: Measurement: standard and metric linear equivalent, standard and metric liquid equivalent, standard and metric weight equivalent, temperature reading and understanding, Fahrenheit and Celsius

Unit 19: Problem Solving: Four-step method, understanding the question, choosing an operation, reasonable or unreasonable, too much or too little information, guess and check understanding remainders, making organized lists, working backwards, make it simpler, logical reasoning, drawing a picture

one-step equations with variables

Unit 17: Equations: addition, subtraction, multiplication, division

area measurement of squares and rectangles

Unit 10: Geometry: shapes, solids and diagonals, symmetry, congruent and similar figures, congruent segments and angles, line, line segment, ray, endpoint, plane, parallel, intersecting, perpendicular lines, angles-rays, vertex, acute, obtuse, right, circles: diameter, radius, and chord, compass, protractor, types of triangles, classifying polygons

Unit 11: Perimeter, Area, and Volume: perimeter, area, volume, surface area

relationships between area and perimeter

Unit 11: Perimeter, Area, and Volume: perimeter, area, volume, surface area

duration, using measurement of time

Unit 8: Time: AM,PM, terms, century, time equivalents, elapsed time, calendar, time zones

classification of prisms and pyramids

Unit 11: Perimeter, Area, and Volume: perimeter, area, volume, surface area

single transformations

Supplementation Required

one-to-one correspondence and many-to-one correspondence, using double bar graphs

Unit 16: Graphs: bar, line, pictographs, circle, coordinate graphs, comparing graphs, mean, mode, median

probability experiments, single events or outcomes

Unit 20: Probability: one variable

financial literacy — monetary calculations, including making change with amounts to 1000 dollars and developing simple financial plans

Unit 9: Money: money will be covered under addition, subtraction, multiplication and division, counting change

Curricular Competencies

Reasoning/Analyzing

Use reasoning to explore and make connections

Unit 19: Problem Solving: Four-step method, understanding the question, choosing an operation, reasonable or unreasonable, too much or too little information, guess and check understanding remainders, making organized lists, working backwards, make it simpler, logical reasoning, drawing a picture

Estimate reasonably

Unit 5: Subtraction: subtraction properties, subtraction terms, basic facts, subtraction with two-three-four-five and six digit numbers, equations, estimating, subtracting money, more than one operation

Unit 6: Multiplication: multiplication terms, multiplication facts, multiplication properties/three-digit times a single digit numbers, three-digit times a single digit numbers, three-digit times three-digit numbers multiplying by 10, 100, and 1000, money by two-digit numbers, missing factors, estimating products, exponents

Unit 13: Decimals: fractions to decimals, word numbers to the thousandths, comparing decimals, ordering decimals, add decimals (horizontally and vertically), subtracting decimals, estimating decimals, estimating decimals with money, multiplying decimals by whole numbers, multiplying decimals by decimals, dividing decimals by whole numbers

Develop mental math strategies and abilities to make sense of quantities

Unit 19: Problem Solving: Four-step method, understanding the question, choosing an operation, reasonable or unreasonable, too much or too little information, guess and check understanding remainders, making organized lists, working backwards, make it simpler, logical reasoning, drawing a picture

Use technology to explore mathematics

Supplementation Required

Model mathematics in contextualized experiences

Supplementation Required

Understanding/Solving

Develop, demonstrate, and apply mathematical understanding through play, inquiry, and problem solving

Supplementation Required

Visualize to explore mathematical concepts

Supplementation Required

Develop and use multiple strategies to engage in problem solving

Unit 19: Problem Solving: Four-step method, understanding the question, choosing an operation, reasonable or unreasonable, too much or too little information, guess and check understanding remainders, making organized lists, working backwards, make it simpler, logical reasoning, drawing a picture

Engage in problem-solving experiences that are connected to place, story, cultural practices, and perspectives relevant to local First Peoples communities, the local community, and other cultures

Unit 9: Money: money will be covered under addition, subtraction, multiplication and division, counting change

Unit 15: Measurement: standard and metric linear equivalent, standard and metric liquid equivalent, standard and metric weight equivalent, temperature reading and understanding, Fahrenheit and Celsius

Communicating/Representing

Communicate mathematical thinking in many ways

Unit 19: Problem Solving: Four-step method, understanding the question, choosing an operation, reasonable or unreasonable, too much or too little information, guess and check understanding remainders, making organized lists, working backwards, make it simpler, logical reasoning, drawing a picture

Use mathematical vocabulary and language to contribute to mathematical discussions

Supplementation Required

Explain and justify mathematical ideas and decisions

Supplementation Required

Represent mathematical ideas in concrete, pictorial, and symbolic forms

Supplementation Required

Connecting/Reflecting

Reflect on mathematical thinking

Unit 19: Problem Solving: Four-step method/understanding the question/choosing an operation/reasonable or unreasonable/too much or too little information/guess and check understanding remainders/making organized lists/working backwards/make it simpler/logical reasoning/drawing a picture

Connect mathematical concepts to each other and to other areas and personal interests

Unit 8: Time: AM,PM/terms, century, time equivalents, elapsed time/calendar/time zones

Unit 9: Money: money will be covered under addition, subtraction, multiplication and division, counting change

Unit 19: Problem Solving: Four-step method/understanding the question/choosing an operation/reasonable or unreasonable/too much or too little information/guess and check understanding remainders/making organized lists/working backwards/make it simpler/logical reasoning/drawing a picture

Incorporate First Peoples worldviews and perspectives to make connections to mathematical concepts

Supplementation Required