Transformations - 8th Grade Math

This unit focuses on the four transformations in 8th grade math. Students will apply translations, reflections (over x or y-axis), and rotations (90°, 180°, and 270° clockwise or counterclockwise), as well as dilations centered at the origin. Includes lessons investigating transformations, generalizing attributes of congruence and orientation, and writing the algebraic representation to explain the effect of a transformation. Students will create pre-image and 5 subsequent images by applying transformations. The student must also supply a guide in the form of algebraic representations so that others may recreate their work. The student will justify their results through discussion and reflection. The unit as designed covers 15-17 days of a traditional 50 minute period

Personal Financial Literacy [6th grade]

Students will independently use their learning to… Make choices when faced with simple budget conflicts and analyze the effect of their choices

Evaluating Functions and their Domain and Range - 8th/9th grade Algebra

The goal of this algebra unit is to solidify student understanding of functions and ensure they can express domain and range for discrete and continuous functions. Students will also be expected to evaluate functions. The unit includes lesson plans for 10 class days along with many supplemental materials including activities, pre-test, data tracker, and quiz. The function unit culminates with a performance assessment (rubric included) where students create their own function machine and complete an accompanying document to show the depth of their understanding

Data Displays [6th grade]

This unit was created to cover the data displays portion of statistics and measurement standards. Students will create data displays correctly, and use their knowledge to decide which data displays works best for their data and why. The students will focus to understand that - Not every data display is appropriate for data given. - Each data display has its own purpose. - The way information is displayed can skew a person’s perception of it. They will do this through representing numeric data graphically including dot plots, stem-and-leaf plots, histograms, and box plots, and using the graphical representation of numeric data to describe the center, spread, and shape of the data distribution. The will also analyze the shape and what that tells us about the data

Linear Relationships (Algebra) (8th-9th grade)

Students will combine all linear relationships and writing equations to perform a task involving scatter plots and line of fit with and without technology. Includes lessons on writing equations and inequalities in context given slope and a point or two points. Students will choose a data set to analyze and determine the context in which it exists. The student will make a scatter plot and determine a line of fit three ways: pencil and paper, on the computer, with a calculator. The student will analyze and compare their results. The student will justify their results and write a story within their context

Defining Obesity Cut-Off Points for Migrant South Asians

<p><b>Background:</b> Body mass index (BMI) and waist circumference (WC) are used to define cardiovascular and type 2 diabetes risk. We aimed to derive appropriate BMI and WC obesity cut-off points in a migrant South Asian population.</p> <p><b>Methods:</b> 4688 White Europeans and 1333 South Asians resident in the UK aged 40-75 years inclusive were screened for type 2 diabetes. Principal components analysis was used to derive a glycaemia, lipid, and a blood pressure factor. Regression models for each factor, adjusted for age and stratified by sex, were used to identify BMI and WC cut-off points in South Asians that correspond to those defined for White Europeans.</p> <p><b>Findings:</b> For South Asian males, derived BMI obesity cut-off points equivalent to 30.0 kg/m(2) in White Europeans were 22.6 kg/m(2) (95% Confidence Interval (95% CI) 20.7 kg/m(2) to 24.5 kg/m(2)) for the glycaemia factor, 26.0 kg/m(2) (95% CI 24.7 kg/m(2) to 27.3 kg/m(2)) for the lipid factor, and 28.4 kg/m(2) (95% CI 26.5 kg/m(2) to 30.4 kg/m(2)) for the blood pressure factor. For WC, derived cut-off points for South Asian males equivalent to 102 cm in White Europeans were 83.8 cm (95% CI 79.3 cm to 88.2 cm) for the glycaemia factor, 91.4 cm (95% CI 86.9 cm to 95.8 cm) for the lipid factor, and 99.3 cm (95% CI 93.3 cm to 105.2 cm) for the blood pressure factor. Lower ethnicity cut-off points were seen for females for both BMI and WC.</p> <p><b>Conclusions:</b> Substantially lower obesity cut-off points are needed in South Asians to detect an equivalent level of dysglycemia and dyslipidemia as observed in White Europeans. South Asian ethnicity could be considered as a similar level of risk as obesity (in White Europeans) for the development of type 2 diabetes.</p&gt

Screening for type 2 diabetes in a multiethnic setting using known risk factors to identify those at high risk: a cross-sectional study

Screening enables the identification of type 2 diabetes mellitus (T2DM) during its asymptomatic stage and therefore allows early intervention which may lead to fewer complications and improve outcomes. A targeted screening program was carried out in a United Kingdom (UK) multiethnic population to identify those with abnormal glucose tolerance

PolyRad -- Protection Against Free Radical Damage

The effects of elevated levels of radiation contribute to the instability of pharmaceutical formulations in space compared to those on earth. Existing technologies are ineffective at maintaining the therapeutic efficacies of drugs in space. Thus, there is an urgent need to develop novel space-hardy formulations for preserving the stability and efficacy of drug formulations. This work aims to develop a novel approach for the protection of space pharmaceutical drug molecules from the radiation-induced damage to help extend or at least preserve their structural integrity and potency. To achieve this, free radical scavenging antioxidant, Trolox was conjugated on the surface of poly-lactic-co-glycolic acid (PLGA) nanoparticles for the protection of a candidate drug, melatonin that is used as a sleep aid medication in International Space Station (ISS). Melatonin-PLGA-PLL-Trolox nanoparticle as named as PolyRad was synthesized employing single oil in water (o/w) emulsion solvent evaporation method. PolyRad is spherical in shape and has an average diameter of ~600 nm with a low polydispersity index of 0.2. PolyRad and free melatonin (control) were irradiated by UV light after being exposed to a strong oxidant, hydrogen peroxide (H2O2). Bare melatonin lost ~80% of the active structure of the drug following irradiation with UV light or treatment with H2O2. In contrast, PolyRad protected \u3e 80% of the active structure of melatonin. The ability of PolyRad to protect melatonin structure was also carried out using 0, 1, 5 and 10 Gy gamma radiation. Gamma irradiation showed \u3e 98% active structures of melatonin encapsulated in PolyRads. Drug release and effectiveness of melatonin using PolyRad were evaluated on human umbilical vein endothelial cells (HUVEC) in vitro. Non-irradiated PolyRad demonstrated maximum drug release of ~70% after 72 h, while UV-irradiated and H2O2-treated PolyRad showed a maximum drug release of ~85%. Cytotoxicity of melatonin was carried out using both live/dead and MTT assays. Melatonin, non-radiated PolyRad and irradiated PolyRad inhibited the viability of HUVEC in a dose-dependent manner. Cell viability of melatonin, PolyRad alone without melatonin (PolyRad carrier control), non-radiated PolyRad, and irradiated PolyRad were ~98, 87, 75 and 70%, respectively at a concentration ~ 0.01 mg/ ml (10 μg/ ml). Taken together, PolyRad nanoparticle provides an attractive formulation platform for preventing damage to pharmaceutical drugs in potential space mission applications

Long-term effects of intensive multifactorial therapy in individuals with screen-detected type 2 diabetes in primary care:10-year follow-up of the ADDITION-Europe cluster-randomised trial

BACKGROUND: The multicentre, international ADDITION-Europe study investigated the effect of promoting intensive treatment of multiple risk factors among people with screen-detected type 2 diabetes over 5 years. Here we report the results of a post-hoc 10-year follow-up analysis of ADDITION-Europe to establish whether differences in treatment and cardiovascular risk factors have been maintained and to assess effects on cardiovascular outcomes.METHODS: As previously described, general practices from four centres (Denmark, Cambridge [UK], Leicester [UK], and the Netherlands) were randomly assigned by computer-generated list to provide screening followed by routine care of diabetes, or screening followed by intensive multifactorial treatment. Population-based stepwise screening programmes among people aged 40-69 years (50-69 years in the Netherlands), between April, 2001, and December, 2006, identified patients with type 2 diabetes. Allocation was concealed from patients. Following the 5-year follow-up, no attempts were made to maintain differences in treatment between study groups. In this report, we did a post-hoc analysis of cardiovascular and renal outcomes over 10 years following randomisation, including a 5 years post-intervention follow-up. As in the original trial, the primary endpoint was a composite of first cardiovascular event, including cardiovascular mortality, cardiovascular morbidity (non-fatal myocardial infarction and non-fatal stroke), revascularisation, and non-traumatic amputation, up to Dec 31, 2014. Analyses were based on the intention-to-treat principle. ADDITION-Europe is registered with ClinicalTrials.gov, NCT00237549.FINDINGS: 343 general practices were randomly assigned to routine diabetes care (n=176) or intensive multifactorial treatment (n=167). 317 of these general practices (157 in the routine care group, 161 in the intensive treatment group) included eligible patients between April, 2001, and December, 2006. Of the 3233 individuals with screen-detected diabetes, 3057 agreed to participate (1379 in the routine care group, 1678 in the intensive treatment group), but at the 10-year follow-up 14 were lost to follow-up and 12 withdrew, leaving 3031 to enter 10-year follow-up analysis. Mean duration of follow-up was 9·61 years (SD 2·99). Sustained reductions over 10 years following diagnosis were apparent for bodyweight, HbA1c, blood pressure, and cholesterol in both study groups, but between-group differences identified at 1 and 5 years were attenuated at the 10-year follow-up. By 10 years, 443 participants had a first cardiovascular event and 465 died. There was no significant difference between groups in the incidence of the primary composite outcome (16·1 per 1000 person-years in the routine care group vs 14·3 per 1000 person-years in the intensive treatment group; hazard ratio [HR] 0·87, 95% CI 0·73-1·04; p=0·14) or all-cause mortality (15·6 vs 14·3 per 1000 person-years; HR 0·90, 0·76-1·07).INTERPRETATION: Sustained reductions in glycaemia and related cardiovascular risk factors over 10 years among people with screen-detected diabetes managed in primary care are achievable. The differences in prescribed treatment and cardiovascular risk factors in the 5 years following diagnosis were not maintained at 10 years, and the difference in cardiovascular events and mortality remained non-significant.FUNDING: National Health Service Denmark, Danish Council for Strategic Research, Danish Research Foundation for General Practice, Novo Nordisk, Novo Nordisk Foundation, Danish Centre for Evaluation and Health Technology Assessment, Danish National Board of Health, Danish Medical Research Council, Aarhus University Research Foundation, Astra, Pfizer, GlaxoSmithKline, Servier, HemoCue, Wellcome Trust, UK Medical Research Council, UK National Institute for Health Research, UK National Health Service, Merck, Julius Center for Health Sciences and Primary Care, UK Department of Health, and Nuts-OHRA.</p