# Horizons

## Content

#### number concepts to 10 000

Unit 1: Number theory: word numbers through hundred billion/expanded form through hundred billion/even and odd/Roman numerals/divisibility/prime and composite/prime factorization

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

Unit 3: Number order: ordinal numbers through 100/rounding to the nearest 10/rounding to the nearest 100/rounding to the nearest 1,000/greater than and less than/equal and not equal

Unit 14: Ratio: definition/write simple ratios/multiply to find equal ratios/divide to find equal ratios

#### decimals to hundredths

Unit 13: Decimals: fractions to decimals/word numbers to hundredths/compare decimals/order decimals/add decimals(horizontal and vertical)/subtract decimals/estimate decimals/estimate decimals with money

#### ordering and comparing fractions

Unit 12: Fractions: terms/fractional part of a whole/word fractions/part of a set/compare and order fractions with common denominators/equivalent fractions/reducing fractions/add fractions with common denominators/subtract fractions with common denominators/mixed numbers/improper fractions/add and subtract mixed numbers without regrouping/comparing fractions with unlike denominators/adding unlike fractions/subtracting unlike fractions

#### addition and subtraction to 10 000

Unit 5: Subtraction: subtraction properties/subtraction terms/basic facts/subtraction with two, three, four, five, six digit numbers with borrowing/equations/subtract 10, 100, 1000/horizontal to vertical/estimating/subtracting money

#### multiplication and division of two- or three-digit numbers by one-digit numbers

Unit 6: Multiplication: multiplication terms/basic facts/multiplication properties/trip digit times single digit without carrying/triple digit times single digit with carrying/multiplying by 10’s, 100’s and 1000’s/two digit times a two digit number with carrying/three digit times a two digit with carrying/money by two digit number/missing factors/estimating products

Unit 7: Division: division terms/basic facts/division properties/one digit divisor, one digit quotient without remainders/one digit divisor, one digit quotient with remainders/one digit divisor, two digit quotient/dividing money/zeros in the quotient/two digit divisor that are multiples of ten/two digit divisor with one digit quotients/two digit divisor when the guess is incorrect/two digit divisor, two digit quotient/estimating quotients/averaging

#### addition and subtraction of decimals to hundredths

Unit 5: Subtraction: subtraction properties/subtraction terms/basic facts/subtraction with two, three, four, five, six digit numbers with borrowing/equations/subtract 10, 100, 1000/horizontal to vertical/estimating/subtracting money

Unit 13: Decimals: fractions to decimals/word numbers to hundredths/compare decimals/order decimals/add decimals(horizontal and vertical)/subtract decimals/estimate decimals/estimate decimals with money

#### addition and subtraction facts to 20 (developing computational fluency)

Unit 5: Subtraction: subtraction properties/subtraction terms/basic facts/subtraction with two, three, four, five, six digit numbers with borrowing/equations/subtract 10, 100, 1000/horizontal to vertical/estimating/subtracting money

#### multiplication and division facts to 100 (introductory computational strategies)

Unit 6: Multiplication: multiplication terms/basic facts/multiplication properties/trip digit times single digit without carrying/triple digit times single digit with carrying/multiplying by 10’s, 100’s and 1000’s/two digit times a two digit number with carrying/three digit times a two digit with carrying/money by two digit number/missing factors/estimating products

Unit 7: Division: division terms/basic facts/division properties/one digit divisor, one digit quotient without remainders/one digit divisor, one digit quotient with remainders/one digit divisor, two digit quotient/dividing money/zeros in the quotient/two digit divisor that are multiples of ten/two digit divisor with one digit quotients/two digit divisor when the guess is incorrect/two digit divisor, two digit quotient/estimating quotients/averaging

#### increasing and decreasing patterns, using tables and charts

Unit 10: Geometry: shapes and solids/symmetry/congruent figures/line, line segments, ray, endpoint/parallel, intersecting, perpendicular/angles-rays, vertex, acute, obtuse, right/circles-diameter, radius

Unit 16: Graphs: bar/line/pictographs/circle/coordinator graphs/comparing graphs

#### how to tell time with analog and digital clocks, using 12- and 24-hour clocks

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

#### regular and irregular polygons

Unit 10: Geometry: shapes and solids/symmetry/congruent figures/line, line segments, ray, endpoint/parallel, intersecting, perpendicular/angles-rays, vertex, acute, obtuse, right/circles-diameter, radius

#### perimeter of regular and irregular shapes

Unit 11: Perimeter, Area, and Volume

#### line symmetry

Unit 10: Geometry: shapes and solids/symmetry/congruent figures/line, line segments, ray, endpoint/parallel, intersecting, perpendicular/angles-rays, vertex, acute, obtuse, right/circles-diameter, radius

#### one-to-one correspondence and many-to-one correspondence, using bar graphs and pictographs

Unit 10: Geometry: shapes and solids/symmetry/congruent figures/line, line segments, ray, endpoint/parallel, intersecting, perpendicular/angles-rays, vertex, acute, obtuse, right/circles-diameter, radius

Unit 15: Measurement

Unit 16: Graphs: bar/line/pictographs/circle/coordinator graphs/comparing graphs

#### probability experiments

Unit 14: Ratio (where applicable)

#### financial literacy — monetary calculations, including making change with amounts to 100 dollars and making simple financial decisions

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

Supplementation Required

#### Estimate reasonably

Unit 7: Division: division terms/basic facts/division properties/one digit divisor, one digit quotient without remainders/one digit divisor, one digit quotient with remainders/one digit divisor, two digit quotient/dividing money/zeros in the quotient/two digit divisor that are multiples of ten/two digit divisor with one digit quotients/two digit divisor when the guess is incorrect/two digit divisor, two digit quotient/estimating quotients/averaging

#### Develop mental math strategies and abilities to make sense of quantities

Supplementation Required

#### 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

Supplementation Required

#### 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

Supplementation Required

### Communicating/Representing

#### Communicate mathematical thinking in many ways

Supplementation Required

#### 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

Unit 10: Geometry: shapes and solids/symmetry/congruent figures/line, line segments, ray, endpoint/parallel, intersecting, perpendicular/angles-rays, vertex, acute, obtuse, right/circles-diameter, radius

Unit 15: Measurement

Unit 16: Graphs: bar/line/pictographs/circle/coordinator graphs/comparing graphs

### Connecting/Reflecting

#### Reflect on mathematical thinking

Supplementation Required

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

Supplementation Required

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

Supplementation Required