Lucia - Math

Math

Math goal

My math goal is: I want to improve my Numbers and Operations to grade 8 or early 8 by winter I-Ready.

Math and Science Topics and Standards for POL

Math standards and topics

Here are a few of the topics and standards we have explored this semester.

Unit one: scaled copies

Scaled copies are important for building and many other jobs. To find a scaled copy you must find one side and see what you can multiply to get to the number on the other shape. If you can find something to multiply by then it is a scaled copy. You can also find the area to help. Scaled copies must be exactly the same to be called a scaled copy.

Unit two: Proportional relationships

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Unit Three: Measuring circles

In this unit students learned a the definitions of circumference, diameter, pi, radius, and area. The students learned how to apply these terms in equations to solve for area and circumference. These equations included, C = pi x D, D = C/3.14, A = pi x R(second power), and R = D/2.

Unit Four: Proportional relationships and percentages

Students began their work with ratios, rates, and unit rates in grade 6, representing them with expressions, tape diagrams, double number line diagrams, and tables. They used these to reason about situations involving color mixtures, recipes, unit price, discounts, constant speed, and measurement conversions. They extended their understanding of rates to include percentages as rates per 100, reasoning about situations involving whole-number percentages.

Unit Five: Rational Number Arithmetic

In grade 6, students learned that the rational numbers comprise positive and negative fractions. They plotted rational numbers on the number line and plotted pairs of rational numbers in the coordinate plane. In this unit, students extend the operations of addition, subtraction, multiplication, and division from fractions to all rational numbers, written as decimals or fractions.

Unit Six: Expressions, Equations, and Inequalities

In this unit, students solve equations of the forms p + q = r and p(x + q) = r, and solve related inequalities, e.g., those of the form pa + q > r and pa + qr, where p, q, and r are rational numbers.

Unit Seven: Angles, Trianges, and Prisms

In this unit, students investigate whether sets of angle and side length measurements determine unique triangles or multiple triangles, or fail to determine triangles. Students also study and apply angle relationships, learning to understand and use the terms “complementary,” “supplementary,” “vertical angles,” and “unique” (MP6). Students analyze and describe cross-sections of prisms, pyramids, and polyhedra. They understand and use the formula for the volume of a right rectangular prism, and solve problems involving area, surface area, and volume (MP1, MP4).

Unit Eight: Probability and sampling

In this unit, students understand and use the terms “event,” “sample space,” “outcome,” “chance experiment,” “probability,” “simulation,” “random,” “sample,” “random sample,” “representative sample,” “overrepresented,” “underrepresented,” “population,” and “proportion.” They design and use simulations to estimate probabilities of outcomes of chance experiments and understand the probability of an outcome as its long-run relative frequency. They represent sample spaces (that is, all possible outcomes of a chance experiment) in tables and tree diagrams and as lists. They calculate the number of outcomes in a given sample space to find the probability of a given event. They consider the strengths and weaknesses of different methods for obtaining a representative sample from a given population. They generate samples from a given population, e.g., by drawing numbered papers from a bag and recording the numbers, and examine the distributions of the samples, comparing these to the distribution of the population. They compare two populations by comparing samples from each population.

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